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4 years ago

Given the equation y-5=5x determine whether the points (2,12) and (-2,-5) are solutions on the graph

Mathematics

1 answer:

finlep [7]4 years ago

6 0

(-2,-5) is on the graph because -5-5=5*(-2)= -10=-10. therefore the equation is true

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

Taylor uses 645.6 gallons of water in 7 days. Suppose he uses the same amount of water each day. About how much water does taylo

jenyasd209 [6]

92.23 Gallons per day. Because you divide 645.6 by 7, so that you can calculate the daily usage. :)

3 0

3 years ago

Read 2 more answers

Find the area of the rectangle.

umka2103 [35]

The area is length x width which means it would be 14 x 8

14 x 8 = 112 so the area of the rectangle is 112 square ft.

8 0

3 years ago

The midpoint of AB is M(-6, -6). If the coordinates of A are (-4-8), what are

icang [17]

Answer:

The coordinates of B are (-8,-4)

Step-by-step explanation:

Midpoint of a segment

Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

$\overline{AM}=\overline{MB}$

Applying that relation in both axes separately, we can write:

$x_A-x_M=x_M-x_B$

$y_A-y_M=y_M-y_B$

Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:

$x_B=2x_M-x_A$

$y_B=2y_M-y_A$

Plugging in the known values:

$x_B=2(-6)-(-4)=-12+4=-8$

$y_B=2(-6)-(-8)=-12+8=-4$

The coordinates of B are (-8,-4)

5 0

3 years ago

This is urgent can someone please help.......

enyata [817]

Answers are c, a, and c

8 0

3 years ago

Read 2 more answers