Mathematics, 04.09.2019 07:20 savannah19dw

What is the center of dilation? what is the scale factor of the dilation?

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Answer from: ryleepretty

a. The center of dilation is (0,0).

b. The scale factor of the dilation is 2.

Step-by-step explanation:

If the rule of dilation is

$(x,y)\rightarrow (kx,ky)$ ... (1)

then the center of dilation is origin and scale factor is k.

From the given graph it is clear that the vertices of triangle ABC are A(-2,2), B(4,2) and C(-2,-2).

The vertices of triangle A'B'C' are A'(-4,4), B'(8,4) and C'(-4,-4).

The relation between preimage and image is defined as

$(x,y)\rightarrow (2x,2y)$ .... (2)

It means center of dilation is (0,0).

On comparing (1) and (2), we get

k=2

Therefore, the scale factor of the dilation is 2.

Answer from: Quest

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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