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Fed [463]
3 years ago
5

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 rad

ius?
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.
Mathematics
2 answers:
FromTheMoon [43]3 years ago
5 0

<em><u>Answer</u></em>


c. It divides the radius by 2.



<em>Explanation</em>

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


lesya692 [45]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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