36. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
36. x-intercept at (-2, 0) and y-intercept at (0, -3)

Answers

Answer 1

Answer:

The linear equation for the line with an x - intercept at (-2,0) and y-intercept at (0,-3) is found as [tex]$y=-\frac{3}{2} x-3$[/tex].

Step-by-step explanation:

A condition is given that a line has an x- intercept at (-2,0) and y - intercept at (0,-3).

It is asked to find a linear equation satisfying the given condition.

Step 1 of 2

Determine the slope of the line.

The points of the intercepts of the line are given as (-2,0) and (0,-3). Next, the formula for the slope is given as,

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

Substitute -3&0 for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and 0&-2 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows,

[tex]$$\begin{aligned}m &=\frac{-3-0}{0-(-2)} \\m &=\frac{-3}{2} \\m &=-\frac{3}{2}\end{aligned}$$[/tex]

Step 2 of 2

Write the equation in the slope-intercept form.

The slope-intercept form of a line is given as follows,

y=mx+b

The coordinates at the y- intercept is (0,-3). Now, as the y- coordinate is -3, so b=-3.

So, substitute -3 for b and [tex]$-\frac{3}{2}$[/tex] for m in the equation y=mx+b, and simplify to get the equation as follows,

[tex]$$\begin{aligned}&y=-\frac{3}{2} x+(-3) \\&y=-\frac{3}{2} x-3\end{aligned}$$[/tex]

This is the required linear equation.


Related Questions

(1/2) 400t² = 20,000

Answers

Answer:

160000

Step-by-step explanation:

if im wrong sorry

Answer:

the answer is 10

Step-by-step explanation:

. Hello !

Because firstly divide 400 by 2

200t²=20,000t²=100....divide both sides by 200t=10....is the value after squaring both sides

Simplify the following:
A.
(-x)^4/4x * 8(-x)^-3/x^-3/4

Answers

Answer:

Answer for (a)   -2x^4/3

Answer for (b)  2^5x/4^3x

Answer:

a. [tex]-2x\sqrt[3]{x}[/tex]

b. [tex]\frac{1}{2^x}[/tex]

Step-by-step explanation:

a.

Original equation:

[tex]\frac{(-x)^4}{4x}*\frac{8(-x)^{-3}}{x^{-\frac{4}{3}}}[/tex]

So (-x)^4 can be seen as (-x * -x) * (-x * -x), which becomes x^2 * x^2 = x^4, the negatives cancel out of the degree is even. So it becomes:

[tex]\frac{x^4}{4x}*\frac{8(-x)^{-3}}{x^{-\frac{4}{3}}}[/tex]

Cancel out one of the x's on the left fraction:

[tex]\frac{x^3}{4}*\frac{8(-x)^{-3}}{x^{-\frac{4}{3}}}[/tex]

Rewrite the exponent in the numerator: [tex]a^{-x} = \frac{1}{a^x}[/tex]

[tex]\frac{x^3}{4}*\frac{8*\frac{1}{-x^3}}{x^{-\frac{4}{3}}}[/tex]

Simplify the numerator:

[tex]\frac{x^3}{4}*\frac{\frac{8}{-x^3}}{x^{-\frac{4}{3}}}[/tex]

Keep numerator, change division to multiplication, flip the denominator:

[tex]\frac{x^3}{4}*\frac{8}{-x^3} * \frac{1}{x^{-\frac{4}{3}}}[/tex]

multiply the denominator using the exponent identity: [tex]x^a*x^b=x^{a+b}[/tex]

[tex]\frac{x^3}{4}*\frac{8}{-x^{\frac{5}{3}}}[/tex]

Multiply the numerators and denominators:

[tex]\frac{8x^3}{-4x^{\frac{5}{3}}}[/tex]

Use the fact that: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] to divide the x^3 and x^(5/3) and divide the 4 by the -8

[tex]-2x^{\frac{4}{3}}[/tex]

Rewrite the exponent using the exponent identity: [tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}=\sqrt[b]{x}^a[/tex]

[tex]-2\sqrt[3]{x^4}[/tex]

Rewrite as two radicals: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]

[tex]-2\sqrt[3]{x^3} * \sqrt[3]{x}[/tex]

Simplify:

[tex]-2x\sqrt[3]{x}[/tex]

b.

[tex]2^{2x}\div4^{3x}*64^{\frac{x}{2}}[/tex]

Rewrite the 4 as 2^2

[tex]2^{2x}\div(2^2)^{3x}*64^{\frac{x}{2}}[/tex]

Use the exponent identity: [tex](x^a)^b=x^{ab}[/tex]

[tex]2^{2x}\div2^{6x}}*64^{\frac{x}{2}}[/tex]

Use the exponent identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]2^{2x-6x} = 2^{-4x}[/tex]

Rewrite this part using the definition of a negative exponent: [tex](\frac{a}{b})^{-x} = \frac{b}{a^x}[/tex].

[tex]\frac{1}{2^{4x}} * 64^{\frac{x}{2}}[/tex]

Multiply:

[tex]\frac{64^{\frac{x}{2}}}{2^{4x}}[/tex]

rewrite 64 as 2^6

[tex]\frac{(2^6)^{\frac{x}{2}}}{2^{4x}}[/tex]

Use the identity: [tex](x^a)^b=x^{ab}[/tex]

[tex]\frac{2^{3x}}{2^{4x}}[/tex]

Use the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]2^{-x}[/tex]

rewrite using the definition of a negative exponent: [tex](\frac{a}{b})^{-x} = \frac{b}{a^x}[/tex]

[tex]\frac{1}{2^x}[/tex]

In the race Math , drivers must complete laps of miles each. Dave drove the first laps at mph and the last laps at mph. What was Dave's average speed for the race, in miles per hour

Answers

The average speed in approximately 184.62 miles per hour.

We have been given that in the race Math 600, drivers must complete 200 laps of 3 miles each. Dave drove the first 150 laps at 180 mph and the last 50 laps at 200 mph.

First of all, we will find the number of miles in 150 laps and 50 laps as:

150 X 3 miles = 450 miles

50 X 3 miles = 150 miles.

Now, we will find time taken to complete each distance as:

Time = 450/180 =2.5 hr

Time = 150/200 = 0.75 hr

Average speed = 184.62

The average speed in approximately 184.62 miles per hour.

Learn more about Speed:

https://brainly.com/question/4313883

#SPJ4

The eleventh term of an AP is four times the second term. If the sum of the first seven terms of the AP is 175, find the first term and the common difference.​

Answers

Step-by-step explanation:

a11 = 4 × a2

a + 10d = 4 × (a + d)

a + 10d - 4d = 4a

a + 6d = 4a

6d = 4a - a

6d = 3a

(6/3)d = a

2d = a ----- eq. 1

now, sum of 7 terms = s7 = 175

7/2 {2a+6d} = 175

7/2 { (2 × 2d ) + 6d} = 175

7 ( 4d + 6d ) = 175 × 2

7 ( 10d ) = 350

70d = 350

d = 350/70

d = 5

Now from eq. 1,

2d = a

2(5) = a

a = 10, d = 5

THANK YOU........

What is the Value of the expression? 2 (1/4)^2

Answers

Answer:

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

Step-by-step explanation:

2 ( [tex]\frac{1}{4}[/tex] )²

= 2 × [tex]\frac{1}{16}[/tex] ← cancel 2 and 16 by 2

= 1 × [tex]\frac{1}{8}[/tex]

= [tex]\frac{1}{8}[/tex]

please help me out with this

Answers

Answer:

25

Step-by-step explanation:

sin © =36/(35+x)=21/35

36/(35+x)=21/35

x=(36*35/21)-35

x=25

Step-by-step explanation:

SOLUTION::

please watch the image for explanation

HELPPP MEEE PLSSSS meee outttt

Answers

Answer: x = 32

Step-by-step explanation:

If m∠ORS = m∠SRQ = 3x - 6 and since the two angles are a linear pair they total 180°. This means half or only one section = 90°

solve for x

3x - 6 = 90

add 6 to both sides

3x = 96

divide each side by 3

x = 32

PLEASE HELP ASAP!!!!!!!!
Find the equation of this line.
y
--2
Simplify the fractions.
Enter
k

Answers

Answer:

y = - 6/7 x - 10/7

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

= 6/-7 = -6/7

y = -6/7 x - a

passes by (-4,2)

2 = 24/7 - a, a = -10/7

y = -6/7 x - 10/7

After using a compass and a straightedge to generate this figure, Jeremy claims AABC is an equilateral triangle inscribed in circle O.

How can Jeremy prove his claim?

A.He can show that the measures of arcs AB, AC, and BC are all equal to 60°.
B. He can show that the lengths of segments AB, AC, and BC are all equal to the length of the circle's radius.
C. He can show that the measures of arcs AB, AC, and BC are all equal to 120°.
D.He can show that the lengths of segments AB, AC, and BC are all equal to the length of the circle's diameter.

Answers

Answer: C. He can show that the measures of arcs AB, AC, and BC are all equal to 120°.

Step-by-step explanation:

Each angle of an equilateral triangle measures 60°, so by the inscribed angle theorem, each arc created by a pair of adjacent vertices will measure 120°.

NEED HELP
pls & thank you

Answers

We have proven that BC = DE using the Segment addition postulate

Segment addition postulate

The segment addition postulate states that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC

The reasons for the proof are given below:

Statement                                Reason

BD = BC + CD                          Segment addition postulate

CE = CD + DE                           Segment addition postulate

BD = CE                                    Given

BC + CD = CD + DE                  Substitution property

BC = DE                                   Subtraction property

Hence, we have proven that BC = DE using the Segment addition postulate

Learn more on Segment addition postulate here: https://brainly.com/question/2134445

#SPJ1

b=(1-1/3).(1-1/3).(1-1/4).................(1-1/2004)

Answers

When the above complex expression has been simplified the solution to the above expression is = 2003/8016.

What is the formula for solving the above?

The formula is given as:

1 - [tex]\frac{1}{n}[/tex] = [tex]\frac{n-1}{n}[/tex]

From the stated express, we have:

(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))

→ ((2-1)/2)  ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)

→ (1/2) * (2/3) * (3/4) * (2003/2004)

→ [tex]\frac{ 1* 2003}{4*2004}[/tex]

= 2003/8016

Learn more about complex progression at:
https://brainly.com/question/11089283
#SPJ1



Answer:

When the above complex expression has been simplified the solution to the above expression is = 2003/8016.

What is the formula for solving the above?

The formula is given as:

1 -  =

From the stated express, we have:

(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))

→ ((2-1)/2)  ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)

→ (1/2) * (2/3) * (3/4) * (2003/2004)

= 2003/8016

Step-by-step explanation:

prove that the value of each expression is divisible by the given number 8^10-2^27 is divisible by 14

Answers

Answer:

Proof below

Step-by-step explanation:

General Strategy:Find factors of divisorUse algebraic properties to reveal those factors in the given expression.

Divisibility

A number, p, is divisible by another number, d, if and only if there is some non-negative integer, n, such that n*d=p.

To prove that, 300 is divisible by 10 because, 30 is a non-negative integer, and 10*30=300.

Strategies for Divisibility by a composite number

Note that in the previous example, 10 is a composite number.  This means that both one 2 and one 5 (the full list of 10s factors) had to be factored out of the 300.

In the given problem, we are to prove that the number is divisible by 14.  Observe 14 is composite with factors of 2 and 7.

Properties of exponents

Since the expression is given with exponents, it will be helpful to recall a few exponent properties to algebraically manipulate the expression.

Recall the following property of exponents:

[tex]x^{a}*x^{b}=x^{(a+b)}[/tex]   [tex](x^{a})^{b}=x^{ab}[/tex]

Finding a factor of 14 in the given expression

Original expression...

[tex]8^{10}-2^{27}[/tex]

Recognizing 8 as a power of 2...

[tex](2^3)^{10}-2^{27}[/tex]

Simplifying and rewriting so that both terms are powers of 2...

[tex]2^{30}-2^{27}[/tex]

Observing that both terms have 27 twos as factors...

[tex]2^{27}*2^{3}-2^{27}[/tex]

Factoring out 27 twos...

[tex]2^{27}*(2^{3}-1)[/tex]

Simplifying the expression in the parenthesis:

[tex]2^{27}*(8-1)[/tex]

[tex]2^{27}*(7)[/tex]

Knowing that we also need a factor of 2, use properties of exponents, and associative property of multiplication...

[tex](2^{26}*2^1)*7[/tex]

[tex]2^{26}*(2^1*7)[/tex]

[tex]2^{26}*(2*7)[/tex]

[tex]2^{26}*14[/tex]

Since 2^26 is a non-negative integer, the original expression is divisible by 14.

A new computer loses 1/3 of its value every year. Which graph- a, b, c, or d – could represent the relationship between the year and the computers value? Justify your choice.

Answers

The graph which represents the relationship between the year and the computers value is; Choice A.

Which graph represents the relationship?

According to the task content, it follows that the computer loses 1/3 of its value every year. Hence, it follows that the value of the computer each year is 2/3 of its previous value.

Hence, the relationship can best be modelled by an exponential function, a decay function to be more specific and can best be represented by Choice A.

Read more on graphs;

https://brainly.com/question/4025726

#SPJ1

Given a sphere with a radius of 2 cm, find its volume to the nearest whole
number.
A. 8 cm³
B. 17 cm³
о C. 33 cm³
O D. 3 cm³

Answers

Answer: 34

Step-by-step explanation:

[tex]V=\frac{4}{3}(\pi)(2^{3}) \approx \boxed{34}[/tex]

Select the correct answer.

The graph of function f is shown.
Which statement about function f is true?

answers:

The function f has an inverse because it passes the vertical line test.

The function f does not have an inverse because it is not one-to-one.

The function f has an inverse because it is one-to-one.

The function f does not have an inverse because its domain is not .

Answers

Answer:

The function f has an inverse because it is one-to-one.

Step-by-step explanation:

The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.

Choose the expression that is equivalent to the expression: 2³
a.2x2x2
b.2x3
c.3x3
d.2x2x3

Answers

Hello,

2³ = 2 × 2 × 2 → answer A

The answer is a because exponents just show how many times a number is multiplied by itself.

Pls answer ASAP it is almost due TYSMMM


There are 357 people attending a school play.
Assuming that all but one row of seats in the
theatre is completely full and that each row fits
24 people, how many rows of seats are there in
the theatre?

Answers

There are 15 rows of seats in the theater

How to determine the number of rows?

The given parameters are:

Total number of people = 357People per row = 24

The number of rows is calculated as:

Rows = Total number of people/People per row

This gives

Rows = 357/24

Evaluate the quotient

Rows = 14.875

Round up the number

Rows = 15

Hence, there are 15 rows of seats in the theater

Read more about sequence at:

https://brainly.com/question/6561461

#SPJ1

After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parabolic path of his food tray can be modeled by the function ℎ() = − 0. 2 , where h is 2 + 0. 4 + 1. 6 the height in meters after t seconds. a)

What is the maximum height of the tray?

If Ray manages to catch the tray at the same height from which the tray flew out of his hands, how long is it in the air?

Answers

The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds

The maximum height of the tray

The distorted information (i.e. the function) in the question is:

h(t) = -0.2t^2 + 0.4t + 1.6

Differentiate the function

h'(t) = -0.4t + 0.4

Set to 0

-0.4t + 0.4 = 0

Subtract 0.4 from both sides

-0.4t = -0.4

Divide by -0.4

t = 1

Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6

h(1) = -0.2(1)^2 + 0.4(1) + 1.6

Evaluate

h(1) = 1.8

Hence, the maximum height of the tray is 1.8 meters

Time spent in the air

In (a), we have:

t = 1

This represents the time to reach the maximum height.

The time spent in the air is:

T = 2t

This gives

T = 2 * 1

T = 2

Hence, the tray is in the air for 2 seconds

Read more about quadratic functions at:

https://brainly.com/question/11535666

#SPJ1

what should be added to 51 to get the answer -1 ?

Please answer Urgent!

Answers

Answer:

Let the no. be x

51 + x = -1

x = -1-51

x = 1 + 51

x = -52

Answer:

-52

Step-by-step explanation:

51 + (-52) = -1


Petrol costs $1.65 per litre. Calculate how much, correct to the nearest cent, the
petrol will cost Anne for a journey of 120km.

Answers

The petrol cost for Anne's journey of 120km is $16.236

How to find the cost for 120 km?

Her car has a fuel consumption of 8.2 litres per 100 km .

Therefore,

100 km = 8.2 litres

120 km = ?

cross multiply

volume(litres) = 8.2 × 120 / 100 = 984 / 100 = 9.84 litres

Therefore,

1 litres = 1.65 dollars

9.84 litres = ?

cross multiply

cost of fuel used = 1.65 × 9.84 / 1

cost of fuel used = $16.236

learn more on cost here: https://brainly.com/question/21968536

#SPJ1


Every year, the value of a surveying machine depreciates by 25 % of its value in the previous year.
If the value of the machine was $ 11 250 in 2012, find its value in 2010.

Answers

Answer:

$17578.13

Step-by-step explanation:

join my stream for an explanation

(ChildOfHermes)

please mark brainliest

im only streaming for 15.5 hours

what is the slope for (3, 8) and (2, 6). ?

Answers

Answer:

m = 2

Step-by-step explanation:

[tex]m = \frac{rise}{run} =\frac{y_{2}-y_1}{x_2-x_1}[/tex]

[tex]=\frac{6 - 8}{2 - 3} \\= \frac{-2}{-1}\\ = 2[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{The formula for finding the slope:}[/tex]

[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]

[tex]\huge\textbf{Some people understand formula like:}[/tex]

[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]

[tex]\huge\textbf{Breaking down the question:}[/tex]

[tex]\mathbf{y_2 \rightarrow \boxed{\textbf{6}}}[/tex]

[tex]\mathbf{y_1 \rightarrow \boxed{\textbf{8}}}[/tex]

[tex]\mathbf{x_2 \rightarrow \boxed{\textbf{2}}}[/tex]

[tex]\mathbf{x_1 \rightarrow \boxed{\textbf{3}}}[/tex]

[tex]\huge\textbf{What your equation should look like:}[/tex]

[tex]\mathbf{\dfrac{6 - 8}{2 - 3} = slope}[/tex]

[tex]\huge\textbf{Simplify the equation we came up with:}[/tex]

[tex]\mathbf{\dfrac{6 - 8}{2 - 3} = slope}[/tex]

[tex]\mathbf{\rightarrow \dfrac{-2}{-1} = slope}[/tex]

[tex]\mathbf{\rightarrow -2 \div -1 = slope}[/tex]

[tex]\mathbf{\rightarrow 2 = slope}[/tex]

[tex]\huge\textbf{Thus, the answer should most likely be:}[/tex]

[tex]\huge\boxed{\mathsf{Slope \rightarrow \boxed{\textsf{2}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphite1040:)}[/tex]

Please answer with everything needed i appreciate everyones help:00

Answers

Answer:

y = 5

Step-by-step explanation:

Step-by-step explanation:

the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

when the slope is 0, it means the y coordinate change is 0 for all points. that means y is a constant. and the line is a horizontal line.

to go through (-2, 5) this constant y has to be the y value of the point.

so,

y = 5

that's it. that is the whole equation for that line, because the slope m is 0. what remains is the y-axis intercept (y = 5).

Find the quotient of the complex numbers. Express your answer in trigonometric form. SEE ATTATCHED

Answers

The quotient of the complex numbers is 3[cos(240)+ isin(240)] option (D) is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have two complex number is given.

The quotient of the complex numbers:

[tex]= \rm \dfrac{12\left[cos\left(320\right)+isin\left(320\right)\right]}{4\left[cos\left(80\right)+isin\left(80\right)\right]}[/tex]

= 3[cos(320-80)+ isin(320-80)]

= 3[cos(240)+ isin(240)]

Thus, the quotient of the complex numbers is 3[cos(240)+ isin(240)] option (D) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.

Point P is the center of dilation. Triangle Q R S is shown. The length of P S is 8.

What will be the distance from the center of dilation, P, to the image S'?

2 units
4 units
6 units
8 units

Answers

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

What is the distance from the center of dilation, P, to the image S'?

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.

Read more on dilation;

https://brainly.com/question/10253650

#SPJ1

i need answer
because this is hella hard and i m trying to cheat but apps trying to make your boy pay and i aint doing it lol

Answers

Answer:

C) 12 m

Step-by-step explanation:

Use the digits 1-20, at most one time each, to create a true statement for polynomial below.
(the _ are blanks that need to be filled in)
_x(x^2 - _x) + _x^3 = _x(_x^2 + _x) - x^2

Answers

The complete equation of the polynomial is 2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2

How to complete the blanks?

The equation is given as:

_x(x^2 - _x) + _x^3 = _x(_x^2 + _x) - x^2

Complete the blanks using alphabets

ax(x^2 - bx) + cx^3 = dx(ex^2 + fx) - x^2

Open the brackets

ax^3 - abx^2 + cx^3 = dex^3 + dfx^2- x^2

Factorize the expression

(a + c)x^3 - abx^2 = dex^3 + (df - 1)x^2

By comparison, we have:

a + c = de

-ab = df - 1

Rewrite the second equation as:

ab + df = 1

So, we have:

a + c = de

ab + df = 1

Set a = 2 and c = 10.

So, we have:

a + c = de ⇒ de = 2 + 10 ⇒ de = 12

ab + df = 1 ⇒2b + df = 1

Express 12 as 3 * 4 in de = 12

de = 3 * 4

By comparison, we have:

d = 3 and e = 4

So, we have:

2b + df = 1

This gives

2b + 3f = 1

Set b = 11.

So, we have:

2 * 11 + 3f = 1

This gives

22 + 3f = 1

Subtract 22 from both sides

3f = -21

Divide by 3

f = -7

Hence, the complete equation is:

2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

Solve each triangle. Round answers to the nearest tenth.

Answers

Step-by-step explanation:

1.) ˆ B = 7∘ ,  ˆ A = 28 ∘ ,  a = 27

-----------------------------------------------------------------------------------------

2.) c ≈ 28.0

-----------------------------------------------------------------------------------------

3.) The triangle has the following measures.

A  =  36 ˚

a  =  14  units

B  =  105 ˚  

b  =  23 units

C  =  39 ˚  

c  = 15  units

------------------------------------------------------------------------------------------

4.) a  ≅  15.0 units

B  =  145 ˚

b  ≅  22.9 units

9. Evaluate 14(-6x +10) - 16x - 100x + 140 for x = -2.

Answers

Answer:

680

Step-by-step explanation:

14(-6x +10) - 16x - 100x + 140 for x = -2.

14(-6(-2) + 10) - 16(-2) - 100(-2) + 140

14(12 + 10) + 32 + 200 + 140

14(22) + 372

308 + 372

680

Deepika has drawn a rhombus and a square, each with side length 5 cm. Which of these will be different for both the shapes?
1. lengths of the two diagonals
2. angles between the two diagonals
3. lengths of the adjacent sides
4. angles between the adjacent side

Answers

The difference for both the rhombus and square are as follows;

Lengths of the two diagonalsAngles between the two diagonalsAngles between the adjacent side

Properties of a square?All the sides are equal.Opposite sides are parallel.All the angles are 90 degrees each.The diagonal bisect each otherProperties of a rhombusAll the sides are equal.Opposite sides are parallel.All the angles are not 90 degrees.The length of the diagonals are not the same.

Therefore, the difference for both the shapes(square and rhombus)are as follows:

Lengths of the two diagonalsAngles between the two diagonalsAngles between the adjacent side

learn more rhombus and square here: https://brainly.com/question/2690905

#SPJ1

Other Questions
Complete the factorization of 3x2 5x 2. which two factors can be multiplied together to make this trinomial? 1st correct answer gets brainliestI said to myself, you can do what you like, even drink poison, but I will stay here. Then he said again, "I'll be back to check on you. One wrong move and off you go to prison too." He turned and shut me into the room alone.I had no idea where he'd gone. I had no idea what was going on in the rest of the house. I was in a terrible mental state. I felt as though I were falling into a bottomless hole.Which sentence from the excerpt would a prepared speaker best use to support the viewpoint that Miep Gies was in terrible danger?I said to myself, you can do what you like, even drink poison, but I will stay here.Then he said again, "I'll be back to check on you. One wrong move and off you go to prison too."I had no idea what was going on in the rest of the house.I felt as though I were falling into a bottomless hole. how can communication help you move forward in your career? Lily is 22 years old. Monica is 3 years older than Lily and 2 years younger than Christine. How old is Christine 3. The following sound waves have what velocity? (convert cm into m in your calculations.) a. 20.0 Hz, of 17.2 m. b. 200.0 Hz, of 1.72 m. c. 2,000.0 Hz, of 17.2 cm. d. 20,000.0 Hz, of 1.72 cm. In Li-Young Lee's "From Blossoms," what kind of mood do the words "nectar," "summer," and "fellowship" create?A. A depressing moodB. A mysterious moodC. A positive moodD. An Apologetic mood Which two sentences support the claim that Americans have greater equality than people in other countries? adapted from "What is an American?" in Letters from an American Farmer by J. Hector St. John Crevecoeur I wish I could be acquainted with the feelings and thoughts which must agitate the heart and present themselves to the mind of an enlightened Englishman, when he first lands on this continent. He must greatly rejoice that he lived at a time to see this fair country discovered and settled; he must necessarily feel a share of national pride, when he views the chain of settlements which embellishes these extended shores. When he says to himself, this is the work of my countrymen, who, when convulsed by factions, afflicted by a variety of miseries and wants, restless and impatient, took refuge here. They brought along with them their national genius, to which they principally owe what liberty they enjoy, and what substance they possess. Here he sees the industry of his native country displayed in a new manner, and traces in their works the embryos of all the arts, sciences, and ingenuity which flourish in Europe. Here he beholds fair cities, substantial villages, extensive fields, an immense country filled with decent houses, good roads, orchards, meadows, and bridges, where an hundred years ago all was wild, woody and uncultivated! What a train of pleasing ideas this fair spectacle must suggest; it is a prospect which must inspire a good citizen with the most heartfelt pleasure. The difficulty consists in the manner of viewing so extensive a scene.He is arrived on a new continent; a modern society offers itself to his contemplation, different from what he had hitherto seen.It is not composed, as in Europe, of great lords who possess everything and of a herd of people who have nothing. Here are no aristocratical families, no courts, no kings, no bishops, no ecclesiastical dominion, no invisible power giving to a few a very visible one; no great manufacturers employing thousands, no great refinements of lu His friends all drive more expensive cars, and Tony is now starting to desire these same expensive products. Which factor is Tony experiencing Rebecca earned $115 in simple interest for 8 months at an annual interest rate of 3%. How much money did she start with in her account? Winds are named based on Group of answer choices the direction from which they originate. the altitude at which they occur. the direction in which they are blowing. the scientist who first described them Each breed of dog is known to be susceptible to certain illnesses, such as heart problems, eye disorders, or thyroid problems. Often, dog breeders will go to great lengths to breed a dog that's unrelated to a dog they want to breed. This is because _____ dictate how emotions should generally be expressed within a culture and when and where their expression is appropriate. Think about the facts you have learned about from World War I, including the high cost and unpopularity of the war, and the effects of the Zimmerman Telegram and German U-boat warfare. Write one or two sentences briefly stating your opinion on the USs decision to enter the war at that time and explain why you feel that way.please help Readers of papers judge first page stories to be more significant than those buried in the back. Television and radio newscasts run the most important stories first and leave the less significant for later. This is an example of what kind of bias During physiology class, the instructor asks students to explain the pathology behind development of multiple sclerosis. Which student gave the most accurate description Which of the following represents a function Which statement best describes Wiesel's use of a rhetorical device?OA. Wiesel uses alliteration in order to help his audience betterremember the information he has presented.OB. Wiesel uses rhetorical questions to end his speech in order toencourage the audience to think further about his ideas.OC. Wiesel uses a logical appeal in order to ask his audience toconsider the validity of the facts and statistics he has presented.OD. Wiesel uses repetition in order to underscore the importance of hiswords and get the audience excited about his ideas. Consider the function f(x)=1/3(6)x. What is the value of the growth factor of the function? 73. Real-World ApplicationsA city's population in the year 1960 was 287,500 . In 1989 the population was 275,900 . Compute the rate of growth of the population and make a statement about the population rate of change in people per year. When doing his homework, a student uses the addition property of equality to solve for c below. Which statement BEST applies to the sample? 6 + c = 10 6 + (6) + c = 10 + (6) c = 4 A. The student failed to keep both sides of the equation balanced. B. The students final answer does not have the variable c isolated. C. The use of the addition property of equality is sound, and the answer is correct. D. The student should have used the subtraction property of equality.