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:)
Triangles are congruent if they have the same (Shape and Size).
Answer:
-2x³+4x
Step-by-step explanation:
g(x) + f(x)
(2x) + (-2x³+2x)
-2x³+4x
We know that the perimeter is the all the sides added up together. Generally, you have

, where l is length and w is width.
For a square, all sides are of the same length, so you can write

, where x is any side.
If the smallest perimeter is 14, then

, so x is 3.5. If the largest perimeter is 72, then

, so x is 18.
Therefore, you have 3.5 ≤ x ≤ 18.
Answer:
Option D is correct.
Explanation:
Commutative Property of Multiplication define that two numbers can be multiplied in any order.
i.e
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.
Given:
A = 
B = 
C = 
then;

Using Commutative property of Multiplication we can write
then we have;

Using Distributive property of multiplication;

by using associative property of multiplication ,

Therefore, the reasons for A , B and C in this proof are;
A.commutative property of multiplication
B. distributive property
C. associative property of multiplication