Let f be the height of the fir trees
Let p be the height of the pine trees
We know from the problem that
f + p = 21 and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation
so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree
substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree
Answer:
y= 1/4x -2
Step-by-step explanation:
Y=mx+b
m is the slope
b is the y intercept
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:

Step-by-step explanation:
Given

Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:

Reorder

Using quadratic formula, we have:

Where

So, we have:




This gives:
or 
or 
or 
But time can not be negative.
So, we have:


<em>Hence, time to hit the ground is 5.0625 seconds</em>
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,

Putting the value of x from above equation in equation (1),

Now put the value of y in equation (1), so,

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
Answer:
572
Step-by-step explanation:
12% of 650 is 78
650 - 78 = 572