Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Discover detailed answers to your questions with our extensive database of expert knowledge.

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

Sagot :

Panoyinidn
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 appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.