Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expr
essions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?
1 answer:
Answer:
2 intersections
Step-by-step explanation:
The greatest possible number of intersections of these graphs is 2 intersections. This is because a quadratic equation always appears on a graph as a parabola, either facing up or down. a Linear expression is a straight line, when placed in the same graph as a parabola only three things can happen. It can completely miss the parabola. It can pass through only one half of the parabola (thus intersecting at one point only), or lastly it can go through both halves of the parabola (intersecting at 2 points) as shown in the picture below.
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Answer:
time = 4.4 s
horizontal distance = 488.8 m
Step-by-step explanation:
Height, h = 4 ft
Angle, A = 32 degree above X axis
velocity, u = 131 ft/s
Let the time taken is t.
Use second equation of motion
So, time is 4.4 s.
The horizontal distance is
d = u cos A t
d = 131 cos 32 x 4.4 = 488.8 m