Answer:
BC = 144 units
Step-by-step explanation:
It is given a line segment BC.
D is the point on the line segment.
<u>To find the length of BC</u>
BC = 8x
CD = 3x + 8 and BD = 4x + 10
BC = CD + BD
8x = 3x + 8 + 4x + 10
8x = 7x + 18
x = 18
BC = 8x = 8 * 18 = 144 units
Therefore the length of segment BC = 144 units
Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
$20 dollars if you start with $18 and subtract what his parents gave him its $10 then double it so $20 is the answer
Answer:
D. 5
Step-by-step explanation:
Mean: (50+60)/2
110/2
55
Margin of error:
60 - 55
5
