Solve the problem.To find the distance between two small towns, an electronic distance measuring (EDM) instrument is placed on a hill from which both towns are visible. If the distance from the EDM to the towns is
and
and the angle between the two lines of sight is
what is the distance between the towns? Round your answer to the nearest tenth of a mile.
A. 4.0 mi
B. 6.1 mi
C. 5.5 mi
D. 3.0 mi
Answer: D
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Solve using the problem-solving strategy for systems of linear equations.Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 12 feet more than 4 times the width. He needs 74 feet of fencing to do the job. Find the length and width of the garden.
A. length: 36 ft; width: 6 ft
B. length: 61 ft; width: 12
ft
C. length: 28 ft; width: 4 ft
D. length: 32 ft; width: 5 ft
Sketch the graph of the equation. Identify the vertex and the intercepts.y = x2 - 1
A. Vertex: (0, -1);
x-intercepts: none;
y-intercept: (0, -1)
B. Vertex: (0, -1);
x-intercepts: (-1, 0) and (1, 0);
y-intercept: (0, -1)
C. Vertex: (-1, 0);
x-intercept: (-1, 0);
y-intercept: (0, 1)
D. Vertex: (0, 1);
x-intercepts: none;
y-intercept: (0, 1)
Use graphs and tables to find the limit and identify any vertical asymptotes.
A. The limit does not exist; no vertical asymptotes B. 1 ; x = -6 C. 0 ; no vertical asymptotes D. The limit does not exist; x = -6 and x = 6
Multiply, then simplify the product. If variables are present, assume they are positive.( +
)(
- 3
)
A. m - 3n
B. - 2
- 3
C. m - 2 - 3n
D. m2 - 2mn - 3n2