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

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)

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option