Which of the following circles lie completely within the third quadrant?
check that all apply

a. (x+12)^2 + (y+9)^2 =9
b. (x+5)^2 + (y+0)^2 = 7
c. (x+3)^2 + (y+9)^2 = 82
d. (x+7)^2 + (y+7)^2 = 4

A and D should be checked.

Step-by-step explanation:

The first one.

It's center is (-12, - 9) and it has a radius of sqrt(9) = 3 The 12 on the x axis will guarantee that the most in either direction in the x direction is (-15,-9) going left from the center and (-9,-9) going right of the center point.

The two points for up and down are (-12, -12) and (-12,-6)

A graph is included below. The red circle is shown as being entirely in quad 3. It is red in color. It should be checked.

B is Blue and it is shown to be 1/2 in quad 3

C is in green. It is 3/4 in quad 3, but not all of it is there.

D is dark blue and it is quad 3 so it should be checked.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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