For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
1. 8r + 4 = 10 + 2r
-4 -4
8r = 6 + 2r
-2r -2r
6r = 6
R= 1
2. -2(x + 3) = 4x - 3
-2x - 6 = 4x - 3
+3 +3
-2x -3 = 4x
+2x +2x
-3 = 6x
————-
6 6
-1/2 = x
3. 5 + 3(q - 4) = 2(q + 1)
5 + 3q - 12 = 2q + 2
-7 + 3q = 2q + 2
+7 +7
3q = 2q + 9
-2q -2q
Q = 9
4. 7x - 4 = -2x + 1 + 9x - 5
7x - 4 = 7x - 4
-7x -7x
-4 = -4
+4 +4
0 = 0
Infinite answers
5. 8x + 6 - 9x = 2 - x -15
-x +6 = - 13 - x
+ x +x
6 = -13
No solution
<h3>
Answer: Non proportional</h3>
Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.
The +100 at the end is why we don't have a proportional equation.
Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.
Answer: 4 divided by 298 is 0.013 and 298 divided by 4 is 74.5
Hope it helps
