What is the equation of a circle with center
(2, -3) and radius 3?

(X - 2)² + (Y + 3)² = 9

Step-by-step explanation:

(X - H)² + (Y - K)² = R²

According to this Circle Equation, all negative symbols give the OPPOSITE terms of what they really are, which is why you see a 3 in the parentheses [-(-3) = 3]. So, you plug the center into the formula, where H is the phase shift [horizontal shift] and K is the vertical shift, then square your radius [9 = 3²].

I am joyous to assist you anytime.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it