Answer: Choice A
m = undefined
point (-2,5)
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Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
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All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Length of a circumference=2πr
r=radius=6 feet.
lengt of this circumference=2π6 feet=12π feet.
1 circumference=360º; then:
360º-------------------12π feet
6º---------------------- x
360º * x=6º * 12π feet
x=(6º * 12π feet) / 360º=π/30 feet (≈0,105 feet).
Solution: π/30 feet
Step-by-step explanation:
(x-9)²
= (x-9)(x-9)
= x²-9x-9x+81
= x²-18x+81
Answer:
<em>The speed of sound at 20°C is 343.42 m/s.</em>
<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>
Step-by-step explanation:
<u>Speed of Sound</u>
The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.
The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

The air is at T=20°C, thus the speed of sound is:


The speed of sound at 20°C is 343.42 m/s.
To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

Where d is the distance and t is the time. Solving for t:

Substituting the values v=343.42 m/s and d=600 m:

t = 1.75 s
You have to wait 1.75 seconds to hear the sound of the bat hitting the ball