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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.

 Jun 17, 2020
 #1
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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

 Jun 17, 2020
 #2
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 Jun 17, 2020

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