-7 2/3 + (-5 1/2) + 8 3/4
1 answer:
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Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, .
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
to increase each dimension by equal lengths so that its area triples is 12 feet.
The given dimensions are 18 feet by 15 feet.
We need to find how much should each dimension increase.
Shaquana wants to increase each dimension by equal lengths so that its area triples.
Let the increased length be x.
So, length =18+x feet and width=15+x feet.
As we know, the area of a deck=Length×Width
The original area of a deck=18×15=270 square feet.
Now, the new area of a deck=(18+x )×(15+x)=3×270
⇒270+15x+18x+x²=810 square feet
⇒x²+33x-540=0
Here, a=1, b=33 and c=-540 in .
⇒
⇒
⇒x=-45 or x=12
Length can not be a negative integer.
Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.
To learn more about the area of a rectangle visit:
brainly.com/question/20693059.
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