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)
Step-by-step explanation:
7 + y < 12 it can also be written as
7 + y = 12
y = 12 - 7
y = 5
or
y < 5
Hope it will help :)
Answer:
9 cups
Step-by-step explanation:
If one pound is equal to 2 cups, then you would multiply 2 by 4, which gives you 8. If one pound equals 2 cups, then half a pound equals 1 cup. So since we already have 8 cups, you just add one more cup, which gives you 9 cups total
SUMMARY: You can expect to get 9 cups of grated parmesan cheese from a 4.5-pound block.
Answer:
to simplify this it is 1295/1804
Step-by-step explanation: