Answer: <span>D. Are perpendicular
</span><span>4x=3y+23 slope = 4/3
</span><span>4y+3x=-19 slope = -3/4</span>
Answer:
36
Step-by-step explanation:
because 10 is 1/2 of 20 and 72/2 = 36
Answer:
The correct answer is the associative property of addition.
Step-by-step explanation:
This property states that no matter which way we group things when adding, they will still create the same outcome. Since all of the symbols are addition, the answer is the same.
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters