Please show full SOLUTIONS!! I WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANKS

Please Show Full SOLUTIONS!! I WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANKS

Answers

Answer 1

The orthocentre for the triangle ABC is (1.85, 5.88).

Triangle ABC has vertices at A(2, 8), B(6, 2) and C(-3, 2).

We need to use analytical geometry to determine the coordinates of the orthocentre.

How to find the orthocentre using analytical geometry?

Steps to find the orthocentre:

Step 1: First, we will find the slopes of any two sides of the triangle (say AC and AB).

Step 2: Next, we can find the slopes of the corresponding altitudes. Remember that if two lines are perpendicular to each other, they satisfy the following equation.

Step 3: Next, we will use the slope-point form of the equation of a straight line to find the equations of the lines that are coincident with the altitudes BE and AD.

Step 4: Next, we can solve the equations of BE and CF simultaneously to find their solution, which gives us the coordinates of the orthocentre H.

Now, the slope of AC=2-8/-3-2=6/5 and the slope of BE=5/6.

The slope of AB=2-8/6-2=-6/4=-3/2 and the slope of CF=-2/3

The slope of BE=y-2/x-6=5/6

6x-5y-26=0----(1)

The slope of CF=y-2/x+3=-2/3

-2x-3y=0----(2)

By solving (1) and(2), we get

y=26/14=13/7=1.85 and x=5.88

Therefore, the orthocentre for the triangle ABC is (1.85, 5.88).

To learn more about the orthocentre of the triangle visit:

https://brainly.com/question/2264608.

#SPJ1


Related Questions

if you rent a full-size car from Quick Car Rental for 1 day how much would the total rental cost be if you drove the car 78 miles than if you drove it 77?

Answers

Assuming you drove the car 78 miles than driving it 77 miles, the total rental cost would be equal to $0.40.

How to determine the total rental cost?

Assuming you drove the car 78 miles than driving it 77 miles, the total rental cost would be calculated by determining the slope of the line for Quick Car Rental (Q) and for Speedy Car Rental.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{55\;-\;15}{100\;-\;0}\\\\Slope = \frac{40}{100}[/tex]

Slope = 0.40.

Therefore, the total rental cost would be equal to $0.40.

Read more on slope here: https://brainly.com/question/17601248

#SPJ1

Complete Question:

At both Quick Car Rental and Speedy Car Rental, the cost, in dollars, of renting a full - size car depends on a fixed daily rental fee and a fixed charge per mile that the car is driven. However, the daily rental fee and the charge per mile are not the same for the 2 companies. In the graph below, line Q represents the total cost for Quick Car Rental and line S represents the total cost for Speedy Car Rental. If you rent a full-size car from Quick Car Rental for 1 day how much would the total rental cost be if you drove the car 78 miles than if you drove it 77?

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.

Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.

Jose also has to state that

Answers

The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.

What other congruence statements must Jose state?

It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.

It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.

Read more on congruence theorem;

brainly.com/question/3168048

#SPJ1

calculate AC to 1 decimal place ?

Answers

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)

Function 1

graph of function f of x equals negative x squared plus 8 multiplied by x minus 15

Function 2

f(x) = −x2 + 2x − 3

Function 1 has the larger maximum at (1, 4).

Function 1 has the larger maximum at (4, 1).

Function 2 has the larger maximum at (1, −2).

Function 2 has the larger maximum at (−2, 1).

Answers

Answer:

Function 1 has the larger maximum at (4, 1)

Explanation:

After observation, graph of function 1 has vertex at Maximum (4, 1)

In order to find vertex of function 2, complete square the equation.

f(x) = -x² + 2x - 3

f(x) = -(x² - 2x) - 3

f(x) = -(x - 1)² - 3 + (-1)²

f(x) = -(x - 1)² - 2

Vertex form: y = a(x - h)² + k where (h, k) is the vertex

So, here for function 2 vertex: Maximum (1, -2)

Conclusion:

Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)

Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"

mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes."

Answers

The answer to the Diophantine equation (x³+y³+z³=k) is given below. First lets us see the definition of the same.

What is a Diophantine equation?

A Diophantine equation in mathematics is a polynomial equation with two or more unknowns, where the only solutions of interest are integer ones.

A linear Diophantine equation is equal to the sum of two or more monomials of degree one.

Unknowns can emerge in exponents in an exponential Diophantine equation.

What is the solution to the above problem?

Recall that this problem is called the "summing of three cubes." Thus, from the values given, the minimum value of K can be 1.

To arrive at that, we can do

x = 0, y = 0, z = 1

so  0³+0³+1³; hence

k = 1

and maximum value  of k can be 99

with that we work with x=2,y=3, z=4

2³+3³+4³=99

Hence, so x can be 0, or 2

y can be 0 or 3; and

z can be 1 or 4.

Learn more about Diophantine equations at;
https://brainly.com/question/15146884
#SPJ1

The peak of Mount Everest is at 8,848 meters above sea level. The peak of Kanchenjunga is at 8,586 meters above sea level.
The elevation of Mount Everest's peak as a rational number is
meters. The elevation of Kanchenjunga's peak as a rational number is
meters.

Answers

Then, the elevation of Mount Everest's peak as a rational number is[tex]\frac{8,848}{1}[/tex] meters. The elevation of Kanchenjunga's peak as a rational number is  [tex]\frac{8,586}{1}[/tex] meters.

1. The number 8,848 is an integer and the number 8,586 is also an integer.

2. Therefore, to solve this problem you must convert the integers shown above to fractions (Because a rational number is that one that can be written as a fraction), as you can see below:

Write each integer as the numerator of the fraction a write 1 as the denominator. This will not change the value.

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

Then you obtain the following fractions:

[tex]\frac{ 8,848}{1}[/tex]

[tex]\frac{8,586}{1}[/tex]

3. Then, the elevation of Mount Everest's peak as a rational number is[tex]\frac{8,848}{1}[/tex] meters. The elevation of Kanchenjunga's peak as a rational number is  [tex]\frac{8,586}{1}[/tex] meters.

To learn more about the fraction visit:

https://brainly.com/question/78672

#SPJ1

Predict the products of the double replacement reactions given. Check to see that the equations are
balanced.
AgNO3 + NaCl ?
O AgNa+CINO3
O NaNO3 + AgCl (s)
O2NaNO3 + 3AgCl (s)
O Ag+ NaNO3

Answers

The balanced equation for the given reaction [tex]\mathbf{AgNO_3+NaCl \to AgCl_{(s)} + NaNO_3}[/tex]

What is a double replacement reaction?

A double replacement is a chemical reaction that takes place in which two reactants swap cations or anions to produce two distinct products.

Whenever the cations representing one of the reactants interact with the anions from another reactant to produce an insoluble ionic compound, a precipitate occurs.

The balanced equation for the given reaction:

[tex]\mathbf{AgNO_3+NaCl \to AgCl_{(s)} + NaNO_3}[/tex]

Learn more about double displacement reactions here:

https://brainly.com/question/17127386

#SPJ1

At 8:00 a.m., there were t inches of snow on the ground. At 5:00 p.m., there were 3t inches of snow on the ground. How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m. if there were 12 inches of snow on the ground at 5:00 p.m.?

Answers

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m.?

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

which value of x is in the domain of f(x)= square root x-2

Answers

The domain of the function f(x)= [tex]\sqrt{x-2}[/tex]is all numbers greater than or up to 2.

Given Function f(x)=[tex]\sqrt{x-2}[/tex]

We have to search out the domain of the function f(x)=[tex]\sqrt{x-2}[/tex]

Domain is that the value of x which we put within the function to induce the various values and range is that the value which we get after putting the worth.

f(x)=[tex]\sqrt{x-2}[/tex]

put the function =0

squaring either side we get

x-2=0

x=2

So the domain of the function f(x)=[tex]\sqrt{x-2}[/tex] is [2,∞) because we are able to put all values greater than 2 within the function.

Hence the domain of the function is [2,∞).

Learn more about domain at https://brainly.com/question/26098895

#SPJ10

Given that BZ BA, if WV = 24, find ZY.
A. 48
B. 24
C. 12
D. 6

Answers

The computation shows that the value of the length of ZY will be B. 24.

How to illustrate the information?

Let the assumed figures be:

BZ = 48

BA = 12

WV = 24

ZY = Unknown

Let's assume that the opposite sides in the quadrilateral are the same, the value of ZY will be:

ZY = (48 × 12)/24

ZY = 24

Learn more about length on:

brainly.com/question/2217700

#SPJ1

Answer:

C.12

Step-by-step explanation:

Trust

Please help me I’ll mark Brainly

Answers

Domain should be 4 and rage should be 2,-2

Sarah buys a new pair of sneakers and several pairs of laces. The expression $35+$3l represents the total amount she spent. What does each part of the expression represent?

Answers

For the given linear equation:

The constant term represents the cost of the sneakers.The linear term represents the cost of the laces.What does each part of the expression represent?

We know that Sarah buys one pair of sneakers and several pairs of laces.

We know that the amount that she spends is:

$35 + $3*l

The first term, the constant one, represents the cost of the pair of sneakers.

The linear term:

$3*l

Represents the cost of buying l pairs of laces, assuming that each pair costs $3.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

$1,000 is deposited into a savings account. interest is compounded annually. after 1 year, the value of the account is $1,020. after 2 years, the value of the account is $1,040.40. this scenario can be represented by an exponential function of the form f(x)=1000(b)^x , where f(x) is the amount in the savings account, and x is time in years. what is the value of b ?

Answers

The value of b is [tex]1 \cdot02[/tex].

What is compound interest?

Compound interest is when you earn interest on both the money you have saved and the interest you earn.

Formula for compound interest is

[tex]A= P(1+\frac{r}{100})^n[/tex] ...................(1)

where, A = total amount( principal + interest )

r = rate of interest in compound interest

n = number of years

Given,

For [tex]n=1[/tex]

Principal amount [tex]p=\$ 1000[/tex]

Total amount [tex]A=\$ 1020[/tex]

For [tex]n=2[/tex]

Principal amount [tex]p=\$ 1000[/tex]

Total amount [tex]A=\$ 1040[/tex]

This scenario can be represented by an exponential function of the form of [tex]f(x)=1000(b)^x[/tex]

Comparing the above function with equation (1), we get

[tex]A=f(x)\\P=1000\\b=(1+\frac{r}{100})[/tex]

For 1st year

[tex]f(x)=1000(b)^1\\\Rightarrow 1020=1000(b)\\\Rightarrow b=\frac{1020}{1000}\\\Rightarrow b= \frac{102}{100}\\\Rightarrow b= 1\cdot02[/tex]

now, check the amount for 2nd year

[tex]f(x)=1000 \times (1 \cdot01}^2\\\Rightarrow f(x)=1000 \times \frac{102}{100}\times \frac{102}{100}\\\Rightarrow f(x)=1040[/tex]

Hence, the value of b is [tex]1 \cdot02[/tex] .

To learn more about compound interest from the given link

https://brainly.com/question/24924853

#SPJ4

Resolver y realizar la comprobacion del siguiente sistema de ecuacion aplicando el metodo grafico. [y=3-2x, y=8-7x

Answers

The solution for the system of equations: y = 3 - 2x and y = 8 - 7x, is x = 1, y = 1.

In the question, we are given a system of equations,

y = 3 -2x ... (i), and

y = 8 - 7x ... (ii).

We have been asked to solve the given system of equations.

To solve the system of equations, we do as follows:

Substitute the value of y = 3 - 2x, from (i) in (ii), to get:

y = 8 - 7x,

or, 3 - 2x = 8 - 7x, which is a linear equation in one variable.

To solve this, we follow these steps:

3 - 2x = 8 - 7x,

or, 3 - 2x + 7x = 8 - 7x + 7x {Adding 7x to both side of the equation},

or, 3 + 5x = 8 {Simplifying},

or, 3 + 5x - 3 = 8 - 3 {Subtracting 3 from both sides of the equation},

or, 5x = 5 {Simplifying},

or, 5x/5 = 5/5 {Dividing both sides of the equation by 5},

or, x = 1.

Substituting x = 1, in (i), we get:

y = 3 - 2x,

or, y = 3 - 2(1),

or, y = 3 - 2 = 1.

Thus, the solution for the system of equations: y = 3 - 2x and y = 8 - 7x, is x = 1, y = 1.

Note: The language seemed not gettable.

The question has been done assuming the question asking to solve the system of equations:

y = 3 - 2x, y = 8 - 7x.

Learn more about solving of system of equations at

https://brainly.com/question/13729904

#SPJ4

Which solution can be used to fill
in both blanks in the table? (1, 6)
(6, 1)
(7, 6)
(6, 7)

Answers

The solution which can be used to fill in both blanks in the table is; (6,7).

What is the solution for the system?

It follows from the task content that the system given has been simplified to the point that;

3x = 18

x = 18/3 = 6.

Hence, the value of y can be evaluated as follows;

2y - x = 8. where (x=6.

2y = 8+6

y = 14/2 = 7.

Read more on system of equations;

https://brainly.com/question/13729904

#SPJ1

There are 27000lb of wheat to be transported, the transport company wants to know how many metric tonnes of wheat they would be transporting.

Answers

Answer:

Around 12.25

Step-by-step explanation:

There are around 2205 (2204.62) lbs  per metric tonnes.

So 27000/2204.62  or 27000/2205 gives you between 12.24-12.25

Which expression is equivalent to the following complex fraction? StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction

Answers

The expression that is equivalent to the given complex fraction is; (-2y+5x) / (3x - 2y)

How to simplify algebraic fractions?

The given algebraic sentence can be rewritten as;

((-2/x) + (5/y))/((3/y) - (2/x))

The LCM is xy and as such when we put it in the denominators of each fraction, we have:

((-2y + 5x)/xy)/((3x - 2y)/xy)

Putting 'xy' in the numerator and denominator of the whole fraction:

(-2y + 5x)/(3x - 2y)

The final expression we have is (-2y + 5x)/(3x - 2y)

Read more about Algebraic Fractions at; https://brainly.com/question/24705296

#SPJ1

Answer:

its A -2y+5x ÷ 3x-2y

Step-by-step explanation:

Edge 2022


Write the equation in point-slope form of the line that passes
through the given point and has the given slope..
m= 5/3,(4, -2)

Answers

Answer:

y + 2 = 5/3(x - 4)

Step-by-step explanation:

Point-slope form of the equation of a line is a shortcut, fill-in-the-blank formula. You can write an equation just by filling in the slope and a point (hence the name, point-slope)

It looks like this:

y - Y = m(x - X)

The point given is (4,-2) fill in the -2 for the Y. Leave the first y just like it is, it stays a y. Fill in the 4 for X. Leave the first little x in the parenthesis alone Leave it an x.

y - -2 = m(x - 4)

Fill in the slope for the m.

y - -2 = 5/3(x - 4)

Simplify if possible.

y + 2 = 5/3 (x - 4)

for what values of the variables are the following expressions defined 1/x+y

Answers

The expression is defined for all the real values except x = -y , y = -x.

What is an Expression ?

An expression is a mathematical statement consisting of constants , variables and mathematical operators.

The expression given in the question is 1/(x +y)

An expression f(x) is undefined when the denominator = 0

f(x) = 1/(x +y)

For the denominator to be zero,

x = -y

or y = -x

So the expression is defined for all the real values except x = -y , y = -x

It can be written as

E = {x ∈ R ∧ x ≠ -y} or

E = {y ∈ R ∧ y ≠ -x}

To know more about Expression

https://brainly.com/question/14083225

#SPJ1

Select the correct answer.
Which function has zeros at -2, -1, and 4?

Answers

Answer: Option (4)

Step-by-step explanation:

We need factors of [tex](x+2), (x+1), (x-4)[/tex]

find f(0) and g(0), if (f/g)'(0)=1, (f g)'(0)=21, f'(0)=5,g'(0)=3

Answers

By the quotient and product rules,

[tex]\left(\dfrac fg\right)'(0) = \dfrac{g(0) f'(0) - f(0) g'(0)}{g(0)^2} = 1[/tex]

[tex](f\times g)'(0) = f(0) g'(0) + f'(0) g(0) = 21[/tex]

Given that [tex]f'(0)=5[/tex] and [tex]g'(0)=3[/tex], we have the system of equations

[tex]\dfrac{5g(0) - 3f(0)}{g(0)^2} = 1 \implies 5g(0) - 3f(0) = g(0)^2[/tex]

[tex]3f(0) + 5g(0) = 21[/tex]

Eliminating [tex]f(0)[/tex] gives

[tex]\bigg(5g(0) - 3f(0)\bigg) + \bigg(3f(0) + 5g(0)\bigg) = g(0)^2 + 21[/tex]

[tex]10g(0) = g(0)^2 + 21[/tex]

[tex]g(0)^2 - 10g(0) + 21 = 0[/tex]

[tex]\bigg(g(0) - 7\bigg) \bigg(g(0) - 3\bigg) = 0[/tex]

[tex]\implies \boxed{g(0) = 7 \text{ or } g(0) = 3}[/tex]

Solve for [tex]f(0)[/tex].

[tex]3f(0) + 5g(0) = 21[/tex]

[tex]3f(0) + 35 = 21 \text{ or } 3f(0) + 15 = 21[/tex]

[tex]3f(0) = -14 \text{ or } 3f(0) = 6[/tex]

[tex]\implies \boxed{f(0) = -\dfrac{14}3 \text{ or } 3f(0) = 2}[/tex]

Multiply 2x(x+28)
pls answer asap

Answers

Answer:

2x^2+56x

Step-by-step explanation:

How many values of x will satisfy the equation |x-1| = | x+3|

Answers

The value of x that will satisfy the equation is x=-1.

We have given that,

[tex]\left|x-1\right|=\left|x+3\right|[/tex]

We have to solve the above inequality

What is inequality?

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Find the positive and negative intervals

[tex]x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1[/tex]

Solve the inequality for each interval

[tex]x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1[/tex]

[tex]\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=-1[/tex]

Therefore we get,

[tex]x=-1[/tex]

To learn more about inequality visit:

https://brainly.com/question/24372553

#SPJ1

use the distrubutive property to simply 2(-5-7j)

Answers

Answer:

2(-5 - 7j) = -10 - 14j

Step-by-step explanation:

Using the distributive property means that we have to multiply both -5 and -7j by 2:

2(-5 - 7j)

⇒ 2 × -5  +  2 × -7j

-10 - 14j

Im taking precalc over edge 2022 right now. Cramming right before the deadline LOL. If i complete things after the deadline do they count for late credit?

Answers

Step-by-step explanation:

♦ Solution ♦ :-

Given Information :

The ratio of heights of the two girls = 5:7

Assumption

Consider their height be 5X cm and 7X cm

The height of the first girl = 5X cm

But According to the condition mentioned in given problem

The height of the first girl = 192 cm

=> 5X = 192

=> X = 192/5

=> X = 38.4

Therefore, X = 38.4 cm

Now the height of the second girl = 7X cm

=> 7 × 38.4 cm

=> 268.8 cm

♦ Alternative Method♦ :-

The ratio of the heights of the two girls = 5:7

The height of the first girl = 192 cm

Assume that the height of the second girl = X cm

Therefore, 5:7= 192:X

=> 5/7 = 192/X

=> 5X = 7×192

=> X = (7×192)/5

=> X = 7× 38.4

=> x = 268.8 cm

♦ Answer ♦ :-

The height of the second girl is 268.7 cm

i’m doing the same thing, i’m not really sure for you but she said i could even complete it during school for credit

Find the inverse function.
f(x) =
f-¹(x) =
=
=
2x+5
4
4x + [?]
[

Answers

Answer: [tex]f^{-1} (x)=\frac{4x-5}{2}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x\\[/tex].

[tex]\implies x=\frac{2y+5}{4}\\\\4x=2y+5\\\\4x-5=2y\\\\y=\frac{4x-5}{2}\\\\\therefore f^{-1} (x)=\frac{4x-5}{2}[/tex]

Find m∠PQR.
A. 90
B. 77
C. 81
D. 72

Answers

Answer:

D) 72°

Step-by-step explanation:

Tangent:

 

[tex]\sf \boxed{\angle PQR =\dfrac{Difference \ between \ major \ arc \ and \ minor \ arc }{2}}[/tex]

       ∠PQR = 2x + 252 - (2x + 108)

      2x +72 = (2x + 252 - 2x - 108) ÷ 2

      2x + 72 = (2x - 2x + 252 - 108) ÷ 2  

     2x + 72 = 144 ÷ 2

      2x + 72 = 72

2x + 72-72 = 72 - 72

              2x = 0

             [tex]\sf \boxed{\bf x = 0}[/tex]

m∠PQR = 2x + 72

             = 2*0 + 72

             = 72°

   

Please help ill give whoever answers the best the brainliest answer ;0

Answers

Answer:

This could be described by the stock market. Suppose you had stock of tesla that went up then flat then down

Step-by-step explanation:

you went for a walk : you started at home, walked away, first slower, then a little bit faster, stayed a little bit first at one place, then started walking back home, stayed a really short time at a second place and finally walked back home.

Determine the equation of the parabola shown in the diagram in factored form. (check picture below)

Answers

Answer:

[tex](x+1)(x-3)[/tex]

Step-by-step explanation:

A quadratic in factored form is usually expressed as: [tex]a(x\pm a)(x \pm b)[/tex] where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: [tex]a(x+1)(x-3)[/tex]. Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: [tex](x+1)(x-3)[/tex]

Find the surface area of the square pyramid.

Answers

Answer:

[tex]39 yd^2[/tex]

Step-by-step explanation:

So, let's start by calculating the surface area of the base, which in this case is a square. The area of a square can be calculating by taking any of the lengths and squaring it, since all the sides should be equal if it's a square. Since one of the sides of the square is 3 yd, you have the equation: [tex](3 yd)^2 = 9yd^2[/tex]. Now to calculate the area of the four triangles. The area of a triangle can be calculating by using the formula: [tex]\frac{1}{2}bh[/tex], and in this case the base is 3 yd, and the height is 5 yd (lengths can be determined by looking at the given values in the diagram). But there's 4 of the triangles so we multiply it all by 4, and this gives you the equation: [tex]4(\frac{1}{2}(5 yd)(3 yd)) = 4(\frac{15 yd^2}{2}) = 4(7.5 yd^2)=30yd^2[/tex]. So now all that's left is to add this to the area of the square which gives you the equation: [tex]30yd^2+9yd^2=39yd^2[/tex] which is the surface area

Other Questions
What package of toothpaste has the lower unit price? Package Price Unit Price6.2 oz $2.95 8.0 oz $3.13 Read the excerpt from the story Time for a Change.Carlos glared at Stacey, handed back the hot dog, and walked away from her challenge to make a change. Eventually, Carlos's feet slowed, and he considered Stacey's words carefully. Perhaps he had been too careful because he was afraid; maybe he could try something new. Carlos returned to the stand and piled toppings on top of his hot dog. He discovered that he loves pickles, ketchup, and onions.When Stacey and Carlos returned to the office, Carlos eyed his notepad thoughtfully. Perhaps it was time to add variety into his predictable routine. He opened the notepad to a fresh page and began to draw an office building that reached beyond the clouds.Read the excerpt from the story Hide and Seek.Raj immediately shook his head side to side, and his smile was replaced with a frown. The hills on Governors Island boasted four slides, one of which was 57 feet long, New York City's longest slide. The length didn't disturb Raj, but the slide was three stories tall, and he was petrified of heights, even if the slide did have the best views of the New York skyline. Maria was fearless and wanted to go on the slide more than anything in the world, mostly because she loved experiencing new adventures. Besides, she had played at least twenty rounds of hide and seek with him. Maybe it was time to try a new adventure.Raj reluctantly nodded his head, and Maria squealed with delight. Grabbing Raj's hand, Maria headed toward the hills, which they climbed with care until they reached the summit. Raj looked down from the top of the slide, feeling absolutely terrified. Maria didn't hesitate for even a second. She slid down as soon as she reached the top, cheering with abandon, until she reached the bottom of the slide. He took a deep breath, slid down the slide, and began to scream gleefully, amazed at how much fun he was having. For the rest of the day, Raj climbed the hill and slid down each marvelous slide four times, enjoying the rush of excitement and unparalleled views of the New York skyline.In both texts, the characters learn about the importance of trying new things. What is similar about the action the main characters in each story take? (A)Both explain the dangers of being up very high. (B)Both face their fears and have new experiences. (C)Both pretend being ill to get out of a new adventure.(D) Both confidently walk away from the scary situations. solve by substitution method 2x+y=-2 5x-2y=-23 1. Consider the changes that the Colorado Riverhas undergone, especially as it relates to humanactivity in the region and the environmentaleffects of that activity. What social and culturalactions are affecting the river?2. What changes might the people living in thesouthwestern U.S. need to adopt? PLEASE HELP!!!!!!!!!!!!!!!!!!!! ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!! King Nebuchadnezzar attacked the Israelite city of ________ in 586 BC, and the people were taken captive as exiles to Babylon. The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, find the length and width. What does the Supplemental Nutrition Assistance Program provide? Agricultural land includes all of the following EXCEPT which? if x=2 y=4 a=3 b=6 and c=2 find the value of xty=52a+5b-4c(4c-3b)a25x2square+4y2squre-5 Evaluate the given question Which of the following did Abraham Lincoln insist in his Gettysburg Address?O "all men are created equal"O "liberty" - An important American valueO National unityAll of the choices What is the solution to the system of equations?y= 2/3x + 3 X=-2 Which of the following is NOT an aspect of the context of communication? Which of the following describes rivers and streams? A. separated into photic and aphotic zones of still water with large amount of vegetation and fish B. located between aquatic and terrestrial environments and reduces flooding and filters water C. filled with running water and don't allow the collection of algae, and are home to small crustaceans D. collected water that is murky and home to insects, phytoplankton, and burrowing organisms Topic Sentencemention the title and author and introduce the topic of the paragraph Compare and contrast the mood of both pieces. How did you feel while you were reading? How did you feel watching the video? Compare and contrast the setting of both pieces. What did you picture in your imagination? What did you see in the video? Compare and contrast the characterization. What did you picture in your imagination? What did you see in the video? Add examples from the text and video to support your ideas. End with your preference. Which one do you prefer and why? What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=x2+2x:a) Compress horizontally by a factor of 3 with respect to its axis of symmetryb) Shift right 1 unit Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal. Mass production meant a growing share of the work in factories was done by workers. 2 Workers in factories performed tasks all day. 3 The system of mass production displaced many workers. Sunlight reflects from a concave piece of broken glass, converging to a point 18 cm from the glass. What is the radius of curvature of the glass