<span>5(x + 1) = 4(x + 8)
Use distributive property
5x+5=4x+32
Subtract 4x from both sides
x+5=32
Subtract 5 from both sides
Final Answer: x=27</span>
Answer:
The answer to your question is 50 inches
Step-by-step explanation:
Data
Area = 200 in²
diagonal 1 = 8 in
diagonal 2 = ?
Formula
Area = (diagonal 1 x diagonal 2) / 2
Solve for diagonal 2
diagonal 2 = 2 x Area 2 / diagonal 1
-Substitution
diagonal 2 = 2 x 200 / 8
-Simplification
diagonal 2 = 400 / 8
-Result
diagonal 2 = 50 in
Answer:

Step-by-step explanation:
The nth term of the given arithmetic sequence is

The first term of this series is:

The last term of this series is when



The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

Where a=5 is the first term and l=27 is the last term.


Answer:
x = - 5
Step-by-step explanation:
Given
- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side
- 8x + 32 = - 8 - 16x ( add 16x to both sides )
8x + 32 = - 8 ( subtract 32 from both sides )
8x = - 40 ( divide both sides by 8 )
x = - 5
Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

We have two points (-6, 5) and (8, 14).
Substitute:

Thew standard form of an equation of a line:

transform:
