Question

When baking cookies, each cookie should be placed about 2 inches from one another to allow room to expand. If one cookie has a radius of 1 inch and a center at C(1, -1), find the center and equation of the cookie immediately to the right. (Assume that each cookie is uniform with a radius of 1 inch and that 1 inch = 1 unit on a coordinate plane.) A. C2 (-1,5) (x + 1)² + (y- 5)² = 1 B. C2(3,-1) (x - 3)²+ (y + 1)² = 1 C. C2 (5,-3) (x - 5)²+(y+3)²= 1 D. C2(5,- 1) (x - 5)²+(y+ 1)²= 1

Answer 1

Solution

For this case the center of the original cookie is given by C= (1,-1) and the radius is r= 1

Then the original equation is:

(x-1)^2 + (y+1)^2 = 1

Then for the next cookie at the right we need to satisfy the condition of 2 units from the original then the best option is:

A. C2 (-1,5)

(x+1)^2 + (y-5)^2 = 1