So area is 168 sq ft
That means that length * width = 168 sq ft
Since length = 10 + 2 w
we get (10+2w)(w) = 168
Multiply it out and you get 2w^2 + 10w - 168 = 0
This is a quadratic equation. You can use the formula here, but i'll just tell you the answer
w = -12, or 7
since it can't equal -12 (ever heard of a barn with a length of -12?), you figure out the answer is 7.
If the width is 7, then the length is 10+2(7) = 24.
Have a nice day!
For direct variation:
y = kx
-12 = 9k
k = -12/9 = -4/3
Therefore, the required equation is y = -4/3 x
The circumference is merely increased by 50%. The formula for a circle (which I assume you know) is 2*pi*r. Work out this value, then multiply it by 1.5. You get the same answer as multiplying 2*pi*(r*1.5). Just fyi (if you didn't know), multiplying something by 1.5 increases it by 50%, multiplying something by 1.12 increases something by 12% etc.
Answer:
5/2y - 8
Step-by-step explanation:
Step 1: Add -7 to both sides.
2x+7+−7=5y−9+−72x=5y−16
Step 2: Divide both sides by 2.
2x2=5y−162x=52y−8