Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
The square feet of landscaping will the two companies carry out that enables them to charge the same amount is 30
What is the total of the landscaping contract for each company?
The total cost of the landscaping contract for each of the two companies is the sum of the fixed consulting fee plus the multiple of variable charge per square foot multiplied by the number of square feet of landscaping
Company A:
Total cost=300+7S
S=square foot
Company B:
Total cost=120+13S
At the point where the square foot are the same they charge the same amount
300+7S=120+13S
300-120=13S-7S
180=6S
S=180/6
S=30 square foot
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Answer:
10 times 16 = C
Step-by-step explanation:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°
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