Write the center and radius for the following circles

Given:

The equations of circle are

4.

5.

6 .

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

Where, is center and is the radius of the circle.

4.

The equation of the circle is

The standard form of this circle is

Therefore, the center of the circle is and the radius of the circle is .

5.

The equation of the circle is

The standard form of this circle is

Therefore, the center of the circle is and the radius of the circle is .

6.

The equation of the circle is

The standard form of this circle is

Therefore, the center of the circle is and the radius of the circle is .

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!

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.