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3 years ago

Given a dilation around the origin, what is the scale factor K? Do, K = (20,16) → (-5,-4)

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

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Find the solution of this system of equations -x-4y=37 -2x-4y=-53

Lelu [443]

Answer:

Final answer is x=90, $y=-\frac{127}{4}$

Step-by-step explanation:

Given equations are:

-x-4y=37 ...(i)

-2x-4y=-53 ...(ii)

multiply (ii) by -1

2x+4y=53 ...(iii)

Add (i) and (iii)

x=90

plug value of x=90 into (i)

-x-4y=37

-90-4y=37

-4y=37+90

-4y=127

$y=-\frac{127}{4}$

Hence final answer is x=90, $y=-\frac{127}{4}$

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Answer:

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