1. 2(8x – 1) + 2(2x + 4)
2. 16x – 2 + 4x + 8
3. (20x + 6)
Step-by-step explanation:
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
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Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
(power of a power)
(quotient of powers)
(negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
M ÷ n
m =
n = 3
÷ 3
Multiply
by the reciprocal of 3 which is
=
×
=
=
Answer:
Step-by-step explanation:
socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699