What is the equation of a circle with center (2,-5) and radius 4?

(x - 2)² + (y + 5)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (2, - 5) and r = 4, hence

(x - 2)² + (y - (- 5))² = 4², that is

(x - 2)² + (y + 5)² = 16 ← is the equation of the circle

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )