Answer:
The height of the football after 4 seconds is 80 feet.
Step-by-step explanation:
You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:
h(t) = -7*t²+48*t
To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:
h(4) = -7*4²+48*4
Solving, you get:
h(4) = -7*16+48*4
h(4) = -112+192
h(4)= 80
<u><em>The height of the football after 4 seconds is 80 feet.</em></u>
A 180 counterclockwise rotation about the origin followed by a reflection of the y-axis
Domain values represent possible x values that are allowed to be plugged in and produce a y value. The values (in this case value) that are not allowed to be plugged in are what make the denominator zero (since you cannot divide by zero). Simply set the denominator equal to zero to figure out this value.
3x + 8 = 0
3x = -8
x= -8/3, this value is not in the domain.
Answer:
16π/9
Step-by-step explanation:
40°/360° = 1/9
40° is 1/9 of a circle
Arc length = 1/9 of circumference = (1/9)2πr = 16π/9