Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 36 feet and the height of the arch over the center of the roadway is 10 feet. Two trucks plan to use this road. They are both 10 feet wide. Truck 1 has an overall height of
and Truck 2 has an overall height of
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 1 can pass under the bridge, but Truck 2 cannot.
B. Truck 2 can pass under the bridge, but Truck 1 cannot.
C. Both Truck 1 and Truck 2 can pass under the bridge.
D. Neither Truck 1 nor Truck 2 can pass under the bridge.
Answer: C
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Simplify the difference quotients and
for the following function. Rationalize the numerator when necessary.f(x) = 5x2 + 6x - 3
A. 10x + 10h + 6; 5x - 5a - 6 B. 10x + 5h + 6; 5x + 5a + 6 C. 10x + 6h - 3; 10x + 10a + 6 D. 10x2 + h; 25x + 25a + 6
Simplify.5 - 12 + 3
A. -10 B. -31 C. -4 D. -180
Solve the problem.What is 100% of 41 miles?
A. 100 miles
B. 141 miles
C. 41 miles
D. 4150 miles
If possible, solve each system by an algebraic method (substitution or addition method). Otherwise, state that the problem has no solution or an infinite number of solutions. 9x - 4y = 2-36x + 16y = -4
A. No solution
B.
C. Infinite number of solutions
D. (4, 2)