Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x
The answer is C: 6x^3 - 24x^2 + 9x + 30
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Length AB
To do this, we make use of sine law which is represented as:

So, we have:

Make AB the subject



Using break apart and distribute strategy, Steven's work can be the following steps:
The expression is given as:

<u>Using the break apart and distribute strategy</u>
3 can be break into 1 + 2
So, we have:

Distribute

Simplify


Read more about break apart and distribute strategy at:
brainly.com/question/6037402