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2 answers:
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Answer:
Step-by-step explanation:
The position equation is given as
and we are looking for the times when the position of the ball is 9 feet. That means that we simply plug in a 9 for s(t) and factor to solve for t:
and
and this is what we factor to find t:
t = .42 sec and then again on its way back down at t = .89 sec
Answer:
The area of the triangle is 7.5 unit²
Step-by-step explanation:
Here we have the coordinates given as
(-3, 5) (-3, 8) and (2, 5)
Let us call the points A = (-3, 5)
B = (-3, 8) and
C = (2, 5)
Therefore the lengths of the sides of the triangle are
AB = a =
AC = b =
BC = c =
Therefore the Area can be derived from Heron's formula which is
A = where s = semi perimeter or (a + b + c)/2
Therefore, plugging the values, we get
s = (3 + 5 + √34)/2 = 6.9155≈6.92
A = = 7.499≈7.5.