H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
Answer: C
Step-by-step explanation: i’m doing the test too
Simplifies to:
1.690196x+396.139706=2
Let's solve your equation step-by-step.
1.690196x+396.139706=2
Step 1: Subtract 396.139706 from both sides.
1.690196x+396.139706-396.139706=2-396.139706
1.690196x=-394.139706
Step 2: Divide both sides by 1.690196.
1.690196x/1.690196 -394.139706/1.690196
x= -233.191716
Answer: x= -233.191716
Answer:
<em>(6,3), last option</em>
Step-by-step explanation:
<u>Symmetry To A vertical line</u>
If the point Q (unknown) is symmetric to point P(2,3) with respect to x=4, it means it's located at the same distance to the line as P while keeping the same y-coordinate.
The point P has a distance of 4-2=2 units with respect to x=4. Q must have its x coordinate equal to 4+2=6, and keeping the y-coordinate equal to 3
The coordinates of Q are (6,3), last option
Answer:
-17x
Step-by-step explanation:
4x-2x-20x+x
2x-20x+x
-18x+x
=-17x
