Solve the problem.A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.
A. 3 in. by 4 in.
B. 5 in. by 9 in.
C. 4 in. by 9 in.
D. 5 in. by 10 in.
Answer: B
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Factor.x2y2 - 64
A. (xy + 64)(xy - 64) B. (x2y2 + 8)(x2y2 - 8) C. (xy + 8)(xy - 8) D. (xy - 8)(xy - 8)
For the region R, find the horizontal line y = k that divides R into two subregions of equal area.R is the region bounded by y = 7 - x, the x-axis, and the y-axis.
A. k = 7 -
B. k = 1 -
C. k = 7 +
D. k = 7 -
Solve the problem.A chemist needs 130 milliliters of a 72% solution but has only 17% and 82% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
A. 100 mL of 17%; 30 mL of 82% B. 20 mL of 17%; 110 mL of 82% C. 110 mL of 17%; 20 mL of 82% D. 30 mL of 17%; 100 mL of 82%
Simplify by combining like terms.
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A.
B.
C.
D.
E.