Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:

Then subtract 3 from both sides of the equation.

The divide both sides by 2.

Another solution is possible because of the absolute value.
If 
Then 
<em>Thus we can solve the second solution:</em>


Isolate P again by subtracting both sides by 3


Then divide both sides by 2:


Answer:
the answer to the questions is 140
<u>11 chairs at each table.</u> (157/14 = 11.214...)
<u>There will be 3 chairs left over.</u> (14x11 = 154 157-154 = 3)
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37