Find the possible values of a if the points with the given coordinates are the indicated distance apart.
1. (1, a), (3, -2); d=5

Possible values of a =  2.58 and  -6.58.

Step-by-step explanation:

Using the distance formula

√(3- 1)^2 + (-2-a)^2) = 5

(3- 1)^2 + (-2-a)^2 = 25

4 + 4a + a^2 + 4 = 25

a^2  + 4a - 17 = 0

a = [-4 +/- √(4^2 - 4*1*-17) ] / 2

a =  -2 +/- √84 / 2

a =  2.58, -6.58.

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!