Answer:
Step-by-step explanation:
Based on the rules of rotation, when the original point (x,y) is rotated according to the following degrees and direction, it will have the corresponding ending points.
90 degrees counterclockwise (-y, x)
90 degrees clockwise (y, -x)
180 degrees counterclockwise and clockwise (-x,-y)
In this case, it would be a 90 degrees clockwise rotation because (x,y) becomes (y,-x)
and there is a translation of 1 unit to the left.
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Answer:
60+50.45x=57.95x
Cost of Fast Internet:
$60 for installation and $50.45 per month for months =
Cost of Quick Internet:
Free installation and $57.95 per month for months =
We want to know in how many months BOTH COSTS WOULD BE SAME. So we EQUATE the expressions for both. We have:
This equation can be solved for x to find the number of months for which the internet service would cost the same.
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of a single roll . Mr. Hanky have 5 roll so Total Area = 
. So , 
paper does Mr. Hanky have
<u>Step-by-step explanation:</u>
Here we have , Mr. Hanky has 5 rolls of butcher paper. If you roll out a whole roll the paper would measure 510 yards long. If the paper is 1.8 yard wide .We need to find that how many total square feet of paper does Mr. Hanky have . Let's find out:
We know that when butcher paper will be unfolded it will be in form of a rectangle with dimensions as :
So , Area of rectangle = 
⇒
⇒ 
⇒ 
But , 
⇒ 
⇒
Therefore , of a single roll . Mr. Hanky have 5 roll so Total Area = . So , paper does Mr. Hanky have .
Answer:
90
Step-by-step explanation:
Answer:
The numbers 12, 13, 14, and 15.
Step-by-step explanation:
First, set up the equation as follows: x + (x + 1) + (x + 2) + (x + 3) = ??
Plug in the number you're searching for on the right-hand side of the equation: x + (x + 1) + (x + 2) + (x + 3) = 54.
Now, add like numbers and variables together, to get a sum of 4x + 6 = 54.
The next step to finding 'x' is to subtract the 6 on both sides, leaving you with 4x = 48.
Divide that out, and you get x = 12. Plug that number in the equation above, and you should get 12 + (13) + (14) + (15) = 54.
