Answers
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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Related Questions
A principal of $3100 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 9 years? Use the calculator provided and round your answer to the nearest dollar
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he Solution:
iven:
[tex]\begin{gathered} P=Principal=\text{ \$}3100 \\ \\ r=rate=3.75\text{\%} \\ \\ t=time=9years \end{gathered}[/tex]We are required to find the amount the investment will be worth after 9 years.
he Compound interest formula:
[tex]A=P(1+\frac{r}{100})^n[/tex]In this case:
[tex]\begin{gathered} A=amount=? \\ P=\text{ \$3100} \\ r=3.75\text{ \%} \\ n=9\text{ years} \end{gathered}[/tex]Substitute:
[tex]A=3100(1+\frac{3.75}{100})^9=3100(1.0375)^9=4317.7217\approx\text{ \$}4318[/tex]Therefore, the correct answer is $4318
If ∠1 ≅ ∠2, can you conclude that any of the lines are parallel?
Explain.
A. Yes; lines n and p are parallel because corresponding angles are congruent.
B. No; ∠1 and ∠2 show no relationship.
C. Yes; lines ℓ and m are parallel because corresponding angles are congruent.
D. No; neither angle is formed by the transversal, line q.
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A. Yes; lines n and p are parallel because corresponding angles are congruent.
According to the reverse of the comparable angles theorem, lines n and p are parallel if angles 1 and 2 are congruent.
The converse of the corresponding angles theorem is what?
According to the corresponding angles theorem, the corresponding angles on each line that a transversal cuts are congruent if the two lines are parallel to one another.
In contrast, lines that fall on those angles are parallel to one another if two corresponding angles are congruent to one another.
The diagram's angles 1 and 2 relate to one another.
In light of the converse of the equivalent angles theorem, lines n and p are parallel if angles 1 and 2 are congruent.
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The total measure of two adjacent angles is 168°. If one of the adjacent angles measures 107.6°, determine the measure of the other adjacent angle.
275.6°
197.6°
72.4°
60.4°
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Answer: The answer is 60.4
Step-by-step explanation: I got it right
To prove two triangles are congruent, you must have at least one pair of congruent sides
True or false
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Answer: The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
Step-by-step explanation:
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
Pls help with this !!!!!
Answers
Becase Y=Mx +B is slope-intercept form
Use the properties of operations to multiply the expressions. (10.3y)(4y)
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By using the properties of operations, the result of the expression (10.3y)(4y) is [tex]41.2y^{2}[/tex]
The expression is given = (10.3y)(4y)
Here we have to multiply the given expression using the properties of operations
The integers has mainly five properties of operation, closure property, associative property, commutative property, distributive property and the identity property. Each property has four integer operations. The four integer operations are addition operation, subtraction operation, multiplication operation and division operation
The given expression = (10.3y)(4y)
Multiply the given expression using the properties of operation
(10.3y)(4y) = [tex]41.2y^{2}[/tex]
Hence, by using the properties of operations, the result of the expression (10.3y)(4y) is [tex]41.2y^{2}[/tex]
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What is the correct answer to this question
Answers
Answer:
The transversal is not part of this triangle.
if a plane is flying at a speed of 800km/hr how long would it take to travel a distance of 1.200 km
Answers
Answer: 1.5 hour
speed=distance/ time
800=1200/time
time=1200/800
time=1.5 hour
Step-by-step explanation:
speed=distance/ time
800=1200/time
time=1200/800
time=1.5 hour
Calculate the distance between the points E = (-4 , 5) and L=(1 , -3) in the coordinate plane. Give an exact answer (not a decimal approximation).
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[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad L(\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ EL=\sqrt{(~~1 - (-4)~~)^2 + (~~-3 - 5~~)^2} \implies EL=\sqrt{(1 +4)^2 + (-3 -5)^2} \\\\\\ EL=\sqrt{( 5 )^2 + ( -8 )^2} \implies EL=\sqrt{ 25 + 64 } \implies EL=\sqrt{ 89 }[/tex]
If marching bands vary from 18 to 48 player, which numbers of players can be arranged in the greatest number of rectangles?
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For the marching bands vary from 18 to 48 player, the numbers of players arranged in the greatest number of rectangles is 48 players.
As given in the question,
Number of players in the given marching bands vary from 18 to 48 players
To form a rectangles in the marching bands minimum two rows are required.
Greatest length and width of the rectangles formed by 18 to 48 players
19,23,29,....,47 are prime numbers
18 = 2 ×9 , 3×6
20 = 2×10 ,4×5
21= 3×7
22 = 2× 11
24=2×12, 3×8, 4×6
and so on
48 = 2 ×24 , 3×16, 4×12, 6×8,
48 players represents greatest number of rectangles
Therefore, for the marching bands vary from 18 to 48 player, the numbers of players arranged in the greatest number of rectangles is 48 players.
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If Kerel has 9 quarters and nickels in his pocket, and they have a combined value of 125 cents, how many of each coin does he have?
nickels
quarters
Answers
By using substitution method, if Kerel has 9 quarters and nickels in his pocket and they have a combined value of 125 cents, then he has 4 quarters and 5 nickels
Total number of coins = 9
Consider the number of quarters as x and number of nickels as y
Then the equation will be
x+y =9
x= 9-y
The combined value of the coins = 125 cents
We know
1 quarter = 25 cents
1 nickel = 5 cents
Then the equation will be
25x+5y = 125
Here we have to use the substitution method
Substitute the value of x in the equation
25(9-y)+5y = 125
225-25y+5y = 125
-20y = -100
y = 5
Substitute the value of y in the first equation
x = 9-y
x = 9-5
x= 4
Hence, by using substitution method, if Kerel has 9 quarters and nickels in his pocket and they have a combined value of 125 cents, then he has 4 quarters and 5 nickels
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A rectangular plot of ground is 10 m longer than it is wide. It’s area is 10,000 square meters.
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Based on the fact that the rectangular plot has a length that is 10 m longer than the width, the equation that will help to find area of the rectangular plot of land is 10x + x² = 10,000
How to find the area of the plot of land?To find the area of the plot of land is the same as finding the area of a rectangle which is:
Area of a rectangle = Length x Width
Assuming the width of the rectangular plot of ground is x, then the length would be:
= 10m + x
= 10 + x
The area of the rectangular plot of ground can therefore be found by the formula:
Area of a rectangle = Length x Width
10,000 square meters = (10 + x) × x
10,000 square meters = 10x + x²
10x + x² = 10,000
In conclusion, an equation that can help you to find the dimensions of the plot of ground is 10x + x² = 10,000.
Rest of the question is:
What equation will help me find the dimensions?
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Can someone help with this question?✨
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The expression (-6 - 5i) + (-1 + 7i) in this form a + bi is -7 + 2i
How to evaluate an expression?The expression to be evaluated is as follows:
Therefore,
(-6 - 5i) + (-1 + 7i)
The expression can be express in the form a + bi as follows:
(-6 - 5i) + (-1 + 7i)
- 6 - 5i - 1 + 7i
Let's combine the like terms
- 6 - 5i - 1 + 7i
-6 - 1 - 5i + 7i
Let's do the arithmetic
-6 - 1 - 5i + 7i
Therefore,
-7 + 2i
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algebra please help if you can
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The answer of the multiplication of two polynomials after simplification is [tex](6x^{4} -7x^{3}+3x^{2}+17x -14)[/tex].
According to the question,
We have the following two polynomials:
[tex](3x^{2} -5x+7)[/tex] and [tex](2x^{2}+x-2)[/tex]
Now, multiplying these two polynomials:
[tex](3x^{2} -5x+7) (2x^{2} +x-2)\\3x^{2} (2x^{2} +x-2) -5x(2x^{2} +x-2) +7(2x^{2} +x-2)\\6x^{4} +3x^{3}- 6x^{2} -10x^{3} - 10x^{2} +10x +14x^{2} +7x-14\\6x^{4} -7x^{3}+3x^{2} +17x-14[/tex]
(Please note that the numbers with the same variables can be added and subtracted. For example, the numbers with the variable [tex]x^{2}[/tex] can only be added or subtracted with variables having [tex]x^{2}[/tex].)
(More to know: every number has to be multiplied with every number in the bracket. For example, in this case, 7 from the first polynomial has been multiplied with the second polynomial. And 7 is multiplied with every number of this polynomial.)
Hence, the result after multiplying the two polynomials and simplifying them is [tex]6x^{4}-7x^{3} +3x^{2} +17x-14[/tex].
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2. A bank representative studies compound interest, so she can better serve customers. She
analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3
years.
a. Find the interest if it is computed using simple interest.
$
LA
c. Find the interest if it is compounded continuously.
$
d. What is the difference in total interest if computed using simple interest or if compounded
continuously?
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a) The interest if computed using simple interest for 3 years at 2% is $120.
c) The interest when compounded continuously for 3 years at 2% is $123.67.
d) The difference in total interest between using simple interest and continuously compounding is $3.67.
What is simple interest?Simple interest is a straightforward way of computing the interest paid on a loan.
The formula for calculating simple interest is P x R x T, where P = Principal, R = Rate, and T = Time.
The formula for continuous compounding first computes the future value (FV) from which the present value (PV) is deducted, as follows:
FV = PV x e ^ (i x t), where e is the mathematical constant approximated as 2.7183.
Principal = $2,000
Rate of interest = 2%
Period = 3 years
Simple Interest = $120 ($2,000 x 2% x 3)
Continuous compounding = FV - PV
FV = $2,000 x 2.7183 ^ (0.02 x 3)
= $2,000 x 1.06183697
= $2,123.67
Interest = $123.67 ($2,123.67 - $2,000)
The difference in total interest = $3.67 ($123.67 - $120)
Thus, continuous compounding produces a difference in the interest of $3.67 when compared to simple interest.
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I need help simplifying rational expressions and finding the excluded values
Answers
SOLUTION:
Step 1:
In this question, we are meant to find the value of:
[tex]\frac{x^2-x}{x+2}dividedby(x^2_{}+2x-3)[/tex]Step 2:
The details of the solution are as follows:
CONCLUSION:
The final answer in rational expression is:
[tex]\begin{gathered} \frac{\text{x }}{(x+2)(x+3)} \\ \text{The excluded values are: x=-2, x = -3} \end{gathered}[/tex]Evaluate 10 exponent -8
Answers
Answer:
0.000000010
Step-by-step explanation:
Evalúe the limit. Show steps
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After evaluating the limit we have came to find that the limit of [tex]\lim_{x\rightarrow -2 }\sqrt[3]{x+1}[/tex] as x approaches -2 is -1
What is limit?A limit in mathematics is the value that a function, sequence, or index approaches when used as an input or as an index gets closer to a specific value. In order to define continuity, derivatives, and integrals, limits must be present. Limits are also crucial to calculus and mathematical analysis.
The idea of a limit of a sequence is further generalized to include the idea of a limit of a topological network in addition to having a connection with the category theory concepts of limit and direct limit.
A limit of a function is typically expressed in formulas as
[tex]{\displaystyle \lim _{x\to c}f(x)=L,}[/tex]
To find the limit we will Evalúe the power
⇒ [tex]\lim_{x\rightarrow -2 }\sqrt[3]{x+1}[/tex]
⇒ [tex]\lim_{x\rightarrow -2 }(x+1)^{1/3}[/tex]
Evalúe 2 as x
⇒ [tex](-2+1)^{1/3}[/tex]
⇒ [tex](-1)^{1/3}[/tex]
⇒ -1
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Write the equation of a line that passes through the points (4, 2) and
(2, 6).
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WE WILL FIRST FIND THE SLOPE BETWEEN THE POINTS
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{6 - 2}{2 - 4} \\ m = \frac{4}{ - 2} \\ m = - 2[/tex]
I WILL USE POINT (2,6) TO GET THE VALUE OF c
[tex]6 = - 2(2) + c \\ 6 = - 4 + c \\ c = 6 + 4 \\ c = 10[/tex]
since the general equation of a straight line is given by y=mx+c
[tex]y = - 2x + 10[/tex]
ATTACHED IS THE SOLUTION
Answer:
Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.
Find the gradient of the line first.
Formula of gradient is given as y2-y1 ÷ x2-x1 or y1-y2 ÷ x1-x2, where x and y are the coordinates of the points.
Gradient = (6-2) ÷ (2-4) = -2
Eqn is y = -2x + c
Substitute either one of the coordinates of the points into the equation to find c.
2 = -2(4) + c
c = 10
Equation of the line is y = -2x + 10
19. Which of the following equations represents a line that
passes through the points (-2, 4) and (-7, 9)?
Answers
Answer:
y = - x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (- 7, 9 )
m = [tex]\frac{9-4}{-7-(-2)}[/tex] = [tex]\frac{5}{-7+2}[/tex] = [tex]\frac{5}{-5}[/tex] = - 1 , then
y = - x + c ← partial equation
to find c substitute either of the 2 points into the partial equation
using (- 2, 4 )
4 = 2 + c ⇒ c = 4 - 2 = 2
y = - x + 2 ← equation of line
Write a rule to describe each transformation.
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The transformation is a reflection across the y-axis (the line x = 0).
Which transformation is shown in the image?On the image we can see two triangles, both are at the same distance of the vertical axis.
We also can notice that the figure is reflected, this is, the longest point of the triangle points to opposite ways.
With this we can conclude that we had some kind of reflection. Particularly, because both triangles are a the same distance of the vertical axis, we can conclude that the reflection was across the line x = 0.
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City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 47 times in traveling the length of the street. How long is the street?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
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If a tire on the snowplow with a diameter of 3.2 ft turns 47 times then, the length of the street is 472.3 feet.
To clear a street the city workers use a snowplow. The diameter of the tire of the snowplow is 3.2 ft.
The tire has to turn 47 times to cover the total length of the street.
Now, we know that the circumference of a circle is given as:
C = 2πr where r is the radius of the circle. And the radius of a circle is half of its diameter.
Therefore, the circumference of the circle can be written as:
C = πD where D is the diameter of the circle.
Now, to calculate the total length of the street we will find the product of the circumference and the number of times the tire has to turn to cover the street.
Therefore,
Length of the street, L = nC
L = nπD
L = 47 × 3.14 × 3.2 ft
L = 472.256 ft
L = 472.3 ft
Hence, the length of the street is 472.3 feet.
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I need an answer please
Answers
the answer is 40 degrees
Step-by-step explanation:
DCB+DCE+ACE =180
DCB+100+ACE=180 (degrees)
DCB+DCB=180-100
2 DCB = 80 (degrees)
DCB=80÷2
DCB = 40 Degrees
Find the value of x.
57°
79°
X
Answers
X=136
Your interior angle and exterior angle adds up to 180
How do I solve this problem
Answers
Consider that each unit on the grid represents 4ft. The figure consists of 2 identical equilateral triangles and 3 identical rectangles. Calculating the area of one of each kind of shape,
[tex]\begin{gathered} A_{triangle}=\frac{1}{2}b*h=\frac{1}{2}*4*4=\frac{16}{2}=8 \\ A_{rectangle}=4*4(2)=4*8=32 \end{gathered}[/tex]Therefore, the area of a single triangle is 8in^2, while the area of a rectangle is 48in^2. Calculate the total area as shown below
[tex]A_{total}=2*8+4*32=16+128=144[/tex]The area of a sheet of plywood is
[tex]A_{plywood}=4*8=32[/tex]Then, divide the total area by the area of a sheet of plywood,
[tex]\frac{A_{total}}{A_{plywood}}=\frac{144}{32}=4.5[/tex]Thus, the answer is 4.5, option D.
There are 4 squares and 16 triangles. What is the simplest ratio of squares to triangles?
Answers
Answer:
1 is to 4
Step-by-step explanation:
Find lowest common factor of the numbers, which is 4, then divide it into both numbers
$&+#84$-('-8*_($&)*85"59
Answers
q. answered
user rates 2
Solve for x and graph.|x+5| = .01
Answers
We need to solve the following equation:
[tex]|x+5|=0.01[/tex]There are two possibilities for the absolute operator, we have the possibility that the argument is positive or negative. Therefore:
[tex]\begin{gathered} x+5=0.01 \\ x=0.01-5=-4.99 \\ \end{gathered}[/tex][tex]\begin{gathered} -(x+5)=0.01 \\ -x-5=0.01 \\ -x=0.01+5 \\ -x=5.01 \\ x=-5.01 \end{gathered}[/tex]The solution is -4.99 and -5.01.
the figures below are similar. the labeled sides are corresponding. what is the area of the larger triangle?
Answers
ANSWER:
64 square inches.
STEP-BY-STEP EXPLANATION:
The first thing is to calculate the ratio between the corresponding sides of the triangles:
[tex]r=\frac{8}{6}=\frac{4}{3}[/tex]We must bear in mind that the area of the larger t triangle is equal to the area of the small triangle multiplied by the ratio of the square, since the area is a quadratic unit, therefore:
[tex]\begin{gathered} A_2=r^2\cdot A_1 \\ \text{ we replacing} \\ A_2=\mleft(\frac{4}{3}\mright)^2\cdot36=\frac{4^2}{3^2}\cdot36=\frac{16}{9}\cdot36 \\ A_2=64in^2 \end{gathered}[/tex]The area of the larger triangle is 64 square inches.
How many times larger is 2 x 10^12 than 5 × 10^6
Answers
Answer:
[tex]4*10^5[/tex]
Step-by-step explanation:
So whenever sometimes says "how many is x larger than y", it just means what is x divided by y. For example 4 is 2 times as much as 2 because 4/2 = 2
With this being said we can simply divide two numbers
[tex]\frac{2*10^{12}}{5*10^6}[/tex]
Whenever you divide scientific notation you simply divide the two coefficients and subtract the exponents from the base 10
So: [tex]\frac{2*10^{12}}{5*10^6} =\frac{2}{5} * 10^{12-6}[/tex]
This gives you a result of: [tex]0.4 * 10^6[/tex]
Since we want the coefficient to be: [tex]1\le c < 10[/tex] we can take one of the 10s from the base, since 10^6 is just 6 tens being multiplied by each other and we can "borrow" one of them to get: [tex]0.4*10^6=0.4*10*10^5[/tex] which simplifies to: [tex]4*10^5[/tex]