Answer:
r = -39
Step-by-step explanation:
So we are trying to solve the equation for r.
-6(2r + 8) = -10(r - 3)
Divide both sides by -2. (This will make distributing much easier.)
3(2r + 8) = 5(r - 3)
Distribute the 3 on the left side and the 5 on the right side,
6r + 24 = 5r - 15
Subtract 24 from both sides.
6r = 5r - 39
Subtract 5r from both sides.
r = -39
So now we have solve the equation.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Step-by-step explanation:
Using Pythagoras' Theorem, hypotenuse squared is equal to adjacent squared plus opposite squared.
The hypotenuse here is line PQ, the adjacent is line PR and the opposite is line QR.
Therefore, PQ^2 = PR^2 + QR^2
(2x + 7)^2 = (3x + 3)^2 + (x + 2)^2
{4x}^{2} + 28x + 49 = {9x}^{2} + 18x + 9 + {x}^{2} + 4x + 4
collecting like terms
{4x}^{2} - {9x}^{2} - {x}^{2} + 28x - 18x - 4x + 49 - 9 - 4 = 0
- {6x}^{2} + 6x + 36 = 0
Multiplying through by -1 to match the given equation
{6x}^{2} - 6x - 36 = 0
dividing through by 6
{x}^{2} - x - 6 = 0 (the final equation)
The common denominator is nine
Hello,
The correct answer is C) 9 hours and 5 minutes.
Hope this helps!!!! :)
Answer:
(8 × 13 1/2) + (10 1/3 x 10 1/2) = 216.50 square inches