Hello!
The answer is 40. All we have to do is find the number of 16 year olds who spent between 25-35 minutes in social media. That is 145. The number of 13 year olds who spent the same amount of time is only 105, therefore 40 more 16 year olds spent between 25 and 35 minutes on social media.
M=(6-1)/(8-5)=5/3
y=5x/3+b, using (5,1)
1=25/3+b
b=-22/3
y=(5x-22)/3
...
m=(8-3)/(-1--4)=5/3...
y=5x/3+b, using (-1,8)
8=-5/3+b
b=29/3
y=(5x+29)/3
Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.
Behold the quotient of F and the product of r,s, and T: <em>F / (r·s·T)</em>
Answer:
![P(\frac{10}{3}, \frac{-2}{3})](https://tex.z-dn.net/?f=P%28%5Cfrac%7B10%7D%7B3%7D%2C%20%5Cfrac%7B-2%7D%7B3%7D%29)
Step-by-step explanation:
The question is incomplete; However
![A = (-2, -4)](https://tex.z-dn.net/?f=A%20%3D%20%28-2%2C%20-4%29)
![B = (6, 1)](https://tex.z-dn.net/?f=B%20%3D%20%286%2C%201%29)
Required
Determine coordinates of P
When line segment is divided in ratios, the following formula calculates the coordinates;
![P(x,y) = \{\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\}](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%5C%7B%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%5C%7D)
In this case;
![m:n = 2:1](https://tex.z-dn.net/?f=m%3An%20%3D%202%3A1)
![(x_1,y_1) = (-2, -4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-2%2C%20-4%29)
![(x_2,y_2) = (6, 1)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%286%2C%201%29)
So, the coordinates of P is calculated as thus
![P(x,y) = \{\frac{2 * 6 + 1 * (-2)}{2+1}, \frac{2 * 1 + 1 * (-4)}{2+1}\}](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%5C%7B%5Cfrac%7B2%20%2A%206%20%2B%201%20%2A%20%28-2%29%7D%7B2%2B1%7D%2C%20%5Cfrac%7B2%20%2A%201%20%2B%201%20%2A%20%28-4%29%7D%7B2%2B1%7D%5C%7D)
![P(x,y) = \{\frac{12 -2}{3}, \frac{2 -4}{3}\}](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%5C%7B%5Cfrac%7B12%20-2%7D%7B3%7D%2C%20%5Cfrac%7B2%20-4%7D%7B3%7D%5C%7D)
![P(x,y) = \{\frac{10}{3}, \frac{-2}{3}\}](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%5C%7B%5Cfrac%7B10%7D%7B3%7D%2C%20%5Cfrac%7B-2%7D%7B3%7D%5C%7D)
Hence, the coordinates of P is
![P(\frac{10}{3}, \frac{-2}{3})](https://tex.z-dn.net/?f=P%28%5Cfrac%7B10%7D%7B3%7D%2C%20%5Cfrac%7B-2%7D%7B3%7D%29)
B=-6 is the correct answer