If you transform x 2 + y 2 = 25 into 4x 2 + 4y 2 = 25, which option below describes the effect of this transformation on the radius? a. it divides the radius by 4. b. it multiplies the radius by 4. c. it divides the radius by 2. d. it multiplies the radius by 2.

Answer

c. It divides the radius by 2.

Explanation

The general equation of a circle is

(x-h)² + (y-k)² = r²

Where (h, k) makes the coordinates of the circle and r the radius.

x² + y² = 25 For this equation,

center (0, 0)

Radius = √25 = 5

4x² + 4y² = 25 First simplify this equation

4x² + 4y² = 25 ⇒ x² + y² = 25/4

center (0, 0)

Radius = √(25/4) = 5/2

The radius has been divided by 2

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

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