Answer:
x = 5
Please tell me if im incorrect and hope this helped ^^
Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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Answer:
4
Step-by-step explanation:
use pythagoeron theorem
9^2-7^2=x^2
x^2=32
x=4
Slope = (-5+7)/(6 - 7) = -2
y = mx + b
b = y - mx
b = -7 - (-2)(7)
b = -7 + 14
b = 7
equation
y = -2x + 7
answer
<span>a. y = -2x + 7</span>
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!