Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

The equation x2-8x+y2=9 defines a circle in the xy-coordinate plane. What is the radius of the circle

Sagot :

Panoyin
x² - 8x + y² = 9
(x² - 8x + 16) + y² = 9 + 16
(x - 4)² + y² = 25
(x - 4)² + y² = 5²

he radius is equal to 5.

Answer:

5 cm

Step-by-step explanation:

The general form of the equation of a circle may be given as

(x - a)² + (y - b)² = c²

where c is the radius, a and b are the coordinates of the center of the circle along the x and y axis.

Given the circle

x2-8x+y2=9

To make it similar to the general form

x2-8x + 16 +y2=9 + 16

(x - 4)²+y²= 25

(x - 4)²+y²= 5²

comparing with the general form stated above,

c = 5cm (the radius)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.