Question

A circle is represented by the equation below: (x + 2)2 + (y − 4)2 = 225 Which statement is true? The circle is centered at (−2, 4) and has a radius of 15. The circle is centered at (2, −4) and has a diameter of 15. The circle is centered at (2, −4) and has a radius of 15. The circle is centered at (−2, 4) and has a diameter of 15.

Name: a circle is represented by the equation below x 22 y 42 225 which statement is true the circle is centered at 2 4 and has a radius of 15 the circle is centered at 2 4 and has a diameter of 15 the circ
Uploaded: 2023-05-19T23:03:02-08:00
Duration: 1 min 53 s
Channel: Willis James
Description: a circle is represented by the equation below x 22 y 42 225 which statement is true the circle is centered at 2 4 and has a radius of 15 the circle is centered at 2 4 and has a diameter of 15 the circ

          A circle is represented by the equation below:

(x + 2)2 + (y − 4)2 = 225

Which statement is true?

 The circle is centered at (−2, 4) and has a radius of 15.
 The circle is centered at (2, −4) and has a diameter of 15.
 The circle is centered at (2, −4) and has a radius of 15.
 The circle is centered at (−2, 4) and has a diameter of 15.

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Algebra 2

Holliday, Luchin, Cuevas, Carter Marks,… 1st Edition

Chapter 10

Instant Answer

Solved by Expert Willis James

05/19/2023

Step 1

Comparing this with the given equation, (x + 2)^2 + (y - 4)^2 = 225, we can see that h = -2, k = 4, and r^2 = 225. Taking the square root of 225, we get r = 15. So, the circle is centered at (-2, 4) and has a radius of 15. Show more…

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A circle is represented by the equation below: (x + 2)2 + (y − 4)2 = 225 Which statement is true? The circle is centered at (−2, 4) and has a radius of 15. The circle is centered at (2, −4) and has a diameter of 15. The circle is centered at (2, −4) and has a radius of 15. The circle is centered at (−2, 4) and has a diameter of 15.