The distance d from the point (x1, y1) to the line Ax + By = C is given by the formula  Find the exact distance from the given point to the given line.(-2, 7), 5x + 12y = 8

A.
B. 6
C.
D.


Answer: C

Mathematics

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Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v =  sin , s(?2) = 2

A. s = -2 cos  + 8.2134
B. s = -2 cos  + 3.3073
C. s = 2 cos  + 4
D. s = -2 cos  + 4

Mathematics

Determine the order of the matrix.

A. 1 B. 4 × 1 C. 4 D. 1 × 4

Mathematics

Find the partial derivative.Let z = g(x,y) = 6x + 4x2y2 - 6y2. Find .

A. 8yx - 12y  B. 6 + 8yx2 C. 8yx2 - 12y D. 8yx - 8y 

Mathematics

Solve the problem.In North America, coyotes are one of the few species with an expanding range. The future population of coyotes in a region of Mississippi valley can be modeled by the equation , where t is time in years. Use the equation to determine when the population will reach 170. (Round your answer to the nearest tenth year.)

A. 583.1 years B. 581.3 years C. 578.0 years D. 586.2 years

Mathematics