Write the equation of the circle centered at (10, – 4) that passes through (14, 12).

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

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

welcome!

where r the answers

step-by-step explanation: