Answer:
14,793
Step-by-step explanation:
You could answer this question easily by applying synthetic division:
_______________
-5 / 4 14 -9
-20 30
---------------------------
4 -6 21
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
Answer:
<A = 115
<C = 50
Step-by-step explanation:
<A + <B + <C = 180
SO
(4X -13) +15 +(X+18) =180
5X +20 =180
5X = 160
X= 32
LOG IN TO <A = 4*32 -13 = 115
<C = 32+18 = 50
Answer:
40 2/5Ibs or
lbs
Step-by-step explanation:
Let weight of object on the moon be represented = Wm
weight of object on the Earth = We
In the above question, we are told:
The weight of an object on the moon is
5 of its weight on Earth.
Hence, mathematically, this is represented as:
5Wm = We
If a moon rock weighs 202 lbs on Earth
5Wm = 202lbs
Wm = 202lbs/5
Wm =
Ibs
Therefore, the moon rock weighs
Ibs on the moon.