Answer:
![\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cfrac%7B3x_2%2B5x_1%7D%7B8%7D%2C%5Cfrac%7B3y_2%2B5y_1%7D%7B8%7D%20%5Cright%20%29)
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be
such that the point
divides KJ in ratio ![m:n](https://tex.z-dn.net/?f=m%3An)
Then coordinates of point P are given by ![\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%20%5Cright%20%29)
Take ![m:n=3:5](https://tex.z-dn.net/?f=m%3An%3D3%3A5)
So,
coordinates of point P = ![\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cfrac%7B3x_2%2B5x_1%7D%7B3%2B5%7D%2C%5Cfrac%7B3y_2%2B5y_1%7D%7B3%2B5%7D%20%5Cright%20%29%3D%5Cleft%20%28%20%5Cfrac%7B3x_2%2B5x_1%7D%7B8%7D%2C%5Cfrac%7B3y_2%2B5y_1%7D%7B8%7D%20%5Cright%20%29)
12 divided by -4 equals-3 .
Answer:
-1x+10
Step-by-step explanation:
Answer:
<em>The salesperson's commission for this month is $3,803</em>
Step-by-step explanation:
<u>Percentages</u>
Let's call x to the sales volume, not including commission.
The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x
We are given this total invoice, thus:
1.0825x = $49,900
Dividing by 1.0825:
x = $46,097
The salesperson's commission is
0.0825*$46,097=$3,803
The salesperson's commission for this month is $3,803