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Scrat [10]
3 years ago
7

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

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The equation x2 - 3x = 22
gizmo_the_mogwai [7]

Answer:

x = - 3.42443 or 6.42443

Step-by-step explanation:

5 0
3 years ago
Approximate square root 18 to the tenths and plot on number line
GenaCL600 [577]

Since 18 does not have a number that when multiplied by itself equal 18, then it will be a decimal number.  You can tell the closest whole number by seeing what is the closest square.  In this case we know that 16 is 4 times 4 and the next one would be 5 times 5 to equal 25, so the whole number would be 4.  

Now, the easiest way to do this is to get you calculator and take the square root of 18 to get 4.242641.  The problem wants it to be to the nearest tenth so 4.2 is your answer.  On a number line, if it is in four parts, you will plot it just before the first little line.

Hope this helps!  If you are using more small lines in you number line, comment me below and I would be happy to lead you in the right direction.

8 0
3 years ago
On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inv
jekas [21]

Answer:

850.

Step-by-step explanation:

Let the number at the start be x shoes. Then:

x - 50 - 0.64(x - 50) = 288

x - 0.64x - 50 + 32 = 288

0.36x = 288 + 50 - 32

0.36x = 306

x = 306/0.36 =  850.

6 0
2 years ago
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to mode
Lynna [10]

Answer:

A

Step-by-step explanation:

The function is f(x) = 15x + 25 as 25$ is a fixed rate ( it does not change and is always charged) when 15$ for any other service which can be anything, a costumer can have 0 services other than the hair cut which gives f(0). As for the question, it's asking for haircut, shampoo, highlight, and blow dry so that is 3 other services other than the fixed haircut which means f(3). substitute x=3 in the function to get 15(3) + 25 = 45+25 = 70.

6 0
3 years ago
Read 2 more answers
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Lisa [10]

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

4 0
2 years ago
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