Use the graph to solve the problem.The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 4 cm.

A. 48 cm2
B. 72 cm2
C. 12 cm2
D. 0 cm2


Answer: A

Mathematics

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Find the distance between the two points. ? (1, 2) and (4, 6) ?

A. 5 B. 10 C. 8 D. 2 E. 3

Mathematics

Provide an appropriate response.If the series is integrated twice term by term, for what value(s) of x (if any) does the new series converge and for which the given series does not converge?

A. x = -9, x = -7 B. x = -9 C. none D. x = -7

Mathematics

Find the equation for the curve in its final position.The graph of y = cot (x) is shifted a distance of ?/12 to the right, stretched by a factor of 3, translated 5 units upward, then reflected in the x-axis.

A. y = -3 cot  - 5
B. y = -3 cot  - 5
C. y = -3 cot  + 5
D. y = -3 cot  + 15

Mathematics

Solve the problem.Find the area of the work space for a robotic arm that can rotate between -30° and 45° and can change its length from 6 inches to 21 inches. Round to one decimal place.

A. 47,712.9 in.2 B. 530.1 in.2 C. 265.1 in.2 D. 9.8 in.2

Mathematics