If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
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Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
Answer:
60
Step-by-step explanation:
60% * x = 45% * 80
Changing to decimal form
.60x = .45 *80
.60x =36
Divide each side by .60
.60x/.60 = 36/.60
x =60
9= 9,000,000/ nine million
9= 900,000/ nine hundred thousand
0= since there's no value we leave it out.
5= 5000/ five thousand
4= 400/ four hundred
8= 80/ eighty
2= 2/two
So your answer is:
Nine million nine hundred thousand five thousand four hundred and eighty two.
Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4