Solve the problem. Round your answer to the nearest tenth, when appropriate.A grasshopper is perched on a reed 6 inches above the ground. It hops off the reed and lands on the ground about 6.6 inches away. During its hop, its height is given by the equation
, where x is the distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of the reed when it was 4.75 inches above the ground?
A. 0.6 in.
B. 0.9 in.
C. 6.6 in.
D. 5.0 in.
Answer: D
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Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(-9, 6); m = -4
A. y = -4x - 31 B. y = -4x - 38 C. y = 4x - 32 D. y = -4x - 30
Solve the inequality and write the solution set using interval notation; then graph the solution set on a number line. v2 + 5v - 14 ? 0
A. [-7, 2]
B. (-?, -7] ? [2, ?)
C. (-?, -7]
D. [2, ?)
Solve the problem.Find a formula for the viewing area of a television screen in terms of its diagonal d and the angle ? shown in the figure. Write the formula using a single trigonometric function. Use the formula to find the viewing area for a 34-in.-diagonal television for which Round to the nearest tenth.
A. A = d2 cos(2?); 236.4 in.2
B. A = d2 sin(2?); 1,131.6 in.2
C. A = sin(2?); 565.8 in.2
D. A = cos(2?); 118.2 in.2
Decide whether the expression has been simplified correctly.(ab)4 = ab4
A. Not simplified correctly B. Simplified correctly