please need help as soon as possible!

Question

Question 1: Identify the graph of the equation x² + (y − 4)² = 16.

A.)

B.)

C.)

D.)

Question 2: A circular platform is to be built in a playground. The center of the structure is required to be equidistant from three support columns located at A(2,−3), B(4,3), and C(−2,5). What are the coordinates for the location of the center of the platform?

A.) (0, 1)

B.) (1, 0)

C.) (0, −1)

D.) (−1, 0)

Please give the explanation and the answer!

Answer 1

Becky:

Question 1 the circle has center (0,4) and radius 4

Question 2

Let C (x,y) be a center.

We need √((x-2)²+(y+3)²) = √((x-4)²+(y-3)²)

√((x-4)²+(y-3)²) = √((x+2)²+(y-5)²)

Simplify the algebra. You should end up with the system of equations:

4x+12y=12

12x-4y=-4

Solve for x and y.