Question

On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 5) lies on the circle. The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = __units Determine the distance from the center to (–3, –4) using the distance formula. distance =___ units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

Answer 1

Answer:

5 5 Yes

Step-by-step explanation:

got it right on edge

Answer 2

we know that

the equation of a circle is

(x-h)²+(y-k)²=r²

where the center is the point (h,k)

r is the radius 

if the center is the origin

so

(h,k) is (0,0)

the radius is the distance from point (0,5) to the origin (0,0)

r=√[(-5)²+(0)²]-------> r=√25---------> r=5 units

the equation is

(x-h)²+(y-k)²=r²------------> (x-0)²+(y-0)²=5²----------> (x)²+(y)²=25

Does the point (–3, –4) also lie on the circle?

the distance from the center to (–3, –4) is

d=√[(-4)²+(-3)²]-------> d=√25--------->d=5 units

d=r

therefore

the point (-3,-4) also lie on the circle