Solve the problem.Each side of a square is lengthened by 3 inches. The area of this new, larger square is 81 square inches. Find the length of a side of the original square.

A. 3 in.
B. 9 in.
C. 8 in.
D. 6 in.


Answer: D

Mathematics

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Write the sentence as an equation. Let the variable x represent the number.The product of 5 and a number, increased by 2, is 17.

A. 5(x + 2) = 17 B. 10x = 17 C. 5x - 2 = 17 D. 5x + 2 = 17

Mathematics

Find an equation of the line that contains the points listed in the table.

A. y = x + 5 B. y = x + 10 C. y = x - 5 D. y = 5x

Mathematics

Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 35 kilograms is applied. Round your answer to one decimal place.

Hooke’s Law states that the force F required to compress or stretch a spring
(within its elastic limits) is proportional to the distance d that the spring is compressed or
stretched from its original length. That is, where k is the measure of the stiffness of
the spring and is called the spring constant. The table below shows the elongation d in
centimeters of a spring when a force of F kilograms is applied.


A) 2.9 centimeters
B) 8.7 centimeters
C) 4.4 centimeters
D) 5.8 centimeters
E) 11.6 centimeters

Mathematics

Graph the function.y = 4 sin(x - ?) + 4

A.

B.

C.

D.

Mathematics