1. A circle has equation (x − 2)2 + (y + 3)2 = 4 and a line has equation 5y − 4x + 20 = 0.

(a) What is the distance from the center of the circle to the line?

(b) What is the greatest distance from a point on the circle to the line?

2. The point (−3, 2) is rotated 90◦ clockwise around the origin to point B. Point B is then reflected in the line y = x to point C. What are the coordinates of C?

3. A right cylinder with a base radius of 3 units is inscribed in a sphere of radius 5 units. Find the total volume, in cubic units, of the space inside the sphere and outside the cylinder.

Guest Jun 17, 2020

#1**+1 **

Ok for number 2 what you do is if you rotate (-3,2) 90 degrees you flip the x and the y and the sign for the -3 switches to + so point B is (2,3) then to reflect it you flip the numbers so it's (3,2) Sorry I didn't explain it that well but there are lots of khan academy's also Good luck on you pr AoPs TeSt

Guest Jun 17, 2020

#2**+2 **

These questions have already been answered in another thread.

https://web2.0calc.com/questions/please-help-i-have-tried-all-of-these-but-am-still-confused#r2

thelizzybeth Jun 17, 2020