Provide an appropriate response.
The solution to a system of equations can be found graphically by graphing each equation. The solution is the point of intersection of the equations. Find the solution to the system below:y =
x + 2
y = -
x + 7
A. (3, 5)
B. (4, 6)
C. (5, 4)
D. (4, 5)
Answer: D
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Solve the problem.A projectile is fired from a height of 7.2 feet with an initial velocity of 181 ft/sec at an angle of 30° with the horizontal. The parametric equations for the path of the projectile are x = (181 cos 30°)t, and y = 7.2 + (181 sin 30°)t - 16t2,where x and y are in feet and t is in seconds. Find the total horizontal distance traveled by the projectile. Round your answer to the nearest tenth of a foot.
A. 664.3 feet B. 898.8 feet C. 1328.6 feet D. 886.6 feet
Solve the problem.The deflection d (in m) of a diving board x m from the fixed end at the pool side is given by d = kx2(3L - x), where L is the length of the diving board and k is a positive constant. Find the instantaneous rate of change of d with respect to x for x = 1.8 m. Give your answer in terms of k and L.
A. (9.72kL - 5.832k) m/m B. (5.4kL - 1) m/m C. (19.44kL - 9.72k) m/m D. (10.8kL - 9.72k) m/m
Solve.A wall has 0.56 in. of paneling covering 0.84 in. of drywall which is attached to a 4.27 in. stud.What is the total thickness of the three components?
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response. South Dakota is approximately the shape of a rectangle. If it averages 202 miles in width and has an area of 77,047 square miles, what is the average length of the state in whole numbers?
A. 77,249 miles B. 381 miles C. 15,563,494 miles D. 381.4 miles