- Midpoint formula is
.
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such:
From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2: 
Next, subtract both sides by 2 and your x-coordinate is 
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>


<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>


<u>The missing endpoint is (-5,1).</u>
If you look at the graph of sin(n), you can notice that it oscillates every kpi/2 when k is odd. This oscillation proves that sin(n) diverges.
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the line equation
First, list out two points from the graph


Next, calculate the slope (m)




The equation in slope intercept form is:

This gives:


Open bracket

Answer:
138$
Step-by-step explanation:
120$. Increased by 15%.
Since 15% equals to 0.15, you multiply 0.15 by the price.
0.15*120=18.
Then you ADD the 15%.
120+18=138
The new price is now 138$
He made 3 1/4 total cups of fruit punch
to get this answer you would add 1/4 + 3/4 = 1 cup
then 1 + 2 = 3
finally adding 3 + 1/4 = 3 1/4 total cups of fruit punch
(Hope this makes since :D)