We have been given that point a is at
and point c is at
. We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.
We will use section formula to solve our given problem.
When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:
![[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let point
and point
.
![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be
.
0.07 - 2.69 = -2.62
X = -2.62
Explanation:
I’ve just done a lot of math
Hope this helps!
Given:
Number of people bought tickets for comedy = 
Number of people bought tickets for horror = 
Number of people bought tickets for kids movie = 
To find the number of people who bought tickets for the action movie.
Let us take,
Total number of tickets = 1
Now,
Total number of tickets for comedy, horror and kids movie are = 
So,

LCM of 5,4,10 = 20
= 
= 
Rest are action movie's tickets.
Therefore,
Number of action movie tickets = 
= 
= 
Hence,
The number of people who bought the tickets for action movie is
.
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18