can someone help with these two questions...I will give medals and fan..? 7. The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
8. Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of
21.3 m/sec. The function that represents the height of the ball with respect to time is ℎ 𝑥 =
−4.9𝑥2 + 21.3𝑥. About how many seconds will it take for the ball to hit the ground?
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@Awolflover1 @pooja195 @AngusV @Preetha @robtobey
for the first one:
area = length*width
perimeter = 2(length+width)
we know that area = 154 = l*w, we can solve this equation for w by dividing both sides by l
154/l = w
then, you can substitute this for w in the perimeter equation to find w, then use the area equation to find l
for the second one:
h(x) = −4.9𝑥2 + 21.3𝑥
when the ball is on the ground, that means h(x) = 0 (height = 0)
so, to find the time it takes for the ball to reach the ground, set h(x) = 0 and solve for x
one of the x values will be 0 and the other x value will be your answer