Answer:
y= 1/2x+2
Step-by-step explanation:
I hope it's right!
Answer:
It takes 1.323 seconds for the ball to fall by 36 feet
Step-by-step explanation:
The height of the ball dropped from a height of 64 ft is modeled by the equation:
h(t) = -16t² + 64 where t is the time in seconds.
To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.
Substituting h(t) to be 36 ft:
36 = -16t² + 64
multiply through by -1
-36 = 16t² - 64
add 36 to both sides
16t² -64 + 36 = -36 + 36
16t² - 28 = 0
add 28 to both sides
16t² - 28 + 28 = 0 +28
16t² = 28
Divide both sides by 28
16t²/16 = 28/16
t² = 1.75
Find squre root of both sides
√t² = √1.75
t = 1.323 seconds
It takes 1.323 seconds for the ball to fall by 36 feet
Remark
I take this to mean "What fraction of a mile." Factors and fractions are two different things. If I have made the wrong assumption, please leave a note.
1 mile = 5280 feet
x mile = 480 feet
Discussion
The easiest way to get the fractional amount is to find the Highest Common Factor and cancel it out. What is left will be your answer.
480:2* 2*2*2 *2 * 3 *5
5280:2*2*2*2*2*3*5*11
The bold primes make up the LCM
Answer
is what is left over.
So 480 is 1/11 of 5280 <<< Answer