Answer:
q = 9
Step-by-step explanation:
5 + 3(q - 4) = 2(q + 1)
To solve, you need to get q by itself on one side.
5 + 3q - 12 = 2q + 2 --- distribute the multipliers next to the parenthesis
3q - 7 = 2q + 2 --- combine like terms
q - 7 = 2 --- subtract 2q from both sides
q = 9 --- add 7 to both sides
set it up like a y= equation.
which would be y=-x^2+7
to find the vertex, you substitute the 0s.
so 0=-(0)^2+7
-0^2=0
0+7=7
0=7
(0,7)
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6
Therefore, the radius of the circle is 6 inches.