Does the point (-10,3) lie on the circle that passes through the point(-2,9) with center (-3,2)?

D) Yes, the radius and distance are equal.

Step-by-step explanation:

1. Find the radius (distance formula): √((-2 + 3)² + (9 - 2)²) = √(1 + 49) = √50 = 5√2. A and C can not be the answer because the reasoning is wrong.

2. Find the distance from the center to the point (distance formula):

√((-10 + 3)² + (3 - 2)²) = √(49 + 1) = √50 = 5√2.

By the definition of a circle, point (-10, 3) is part of the circle because its distance from the center is equal to the radius.

step-by-step explanation:

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y