Answer:
y=-2x-2
Step-by-step explanation:
Slope: -4-2/1-(-2)=-6/3=-2
Equation: y=-2x+b
Substitute: 2=-2(-2)+b
2=4+b
b=-2
Therefore, y=-2x-2
I hope this helped and have a good rest of your day!
See attached graph: v is on the y-axis and t is on the x-axis
Answer:
31.76 ft and 58.64 ft
Step-by-step explanation:
The radius measures between 13 feet and 24 feet.
The wheel is able to turn 7π/9 radians before getting stuck.
We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.
Length of an arc is given as:

where θ = central angle = 7π/9 radians
r = radius of the circle
Therefore, for 13 feet:

For 24 feet:

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.
<h2>
Height of tree is 7.5 feet</h2>
Step-by-step explanation:
Let t be the height of pole.
Given that the tree is 5 feet shorter than a pole.
Height of pole = t + 15
Also given that the pole is 3 times as tall as the tree.
Height of pole = 3t
So we have
t + 15 = 3t
2t = 15
t = 7.5 feet
Height of tree = 7.5 feet