69 1/4 is the proper fraction. 277/4 would be the improper fraction.
Answer:
Y= -5/3x -1
Step-by-step explanation:
Answer:
- distributive property
- properties of numbers (12-36 = -24)
- addition property of equality
Step-by-step explanation:
1. The first step is elimination of parentheses. That is accomplished by making use of the distributive property—multiplying everything inside parentheses by the multiplier outside.
2. The numbers -36 and +12 are combined in this step to make -24. The ability to do so comes from the properties of real numbers: you can add them.
3. In this step, we added 4 to both sides of the equation. The addition property of equality lets us do that without compromising the truth of the equal sign. (Just as in the previous step where we added 27x to both sides.)
Answer:
the ball reaches a height of 64 feet after 2 sec.
The ball is in the air 4 sec.
Step-by-step explanation:
The ball is following the path of a parabola. The maximum height is at the vertex of the parabola.
Let (h, k) be the vertex. h will be the time it takes to reach the maximum height, and k will be that height.
y =
h = -b/2a = 64/(-2)(-16) = 64/32 = 2
k = -16(2)^2 + 64(2)
-16(4) + 128
- 64 + 128 = 64
V: (2, 64)
So the ball reaches a height of 64 feet after 2 sec.
Let = 0 (0 is the height when the balls hits the ground)
-16t(t - 4) = 0
t = 0 or t = 4
The ball is in the air 4 sec.