Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
Given:
A line contains the points R(-1, 8), S(1, 4) and T(6, y).
To find:
The value of y.
Solution:
Three points are collinear if:
![x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0](https://tex.z-dn.net/?f=x_1%28y_2-y_3%29%2Bx_2%28y_3-y_2%29%2Bx_3%28y_1-y_2%29%3D0)
A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.
![-1(4-y)+1(y-8)+6(8-4)=0](https://tex.z-dn.net/?f=-1%284-y%29%2B1%28y-8%29%2B6%288-4%29%3D0)
![-4+y+y-8+48-24=0](https://tex.z-dn.net/?f=-4%2By%2By-8%2B48-24%3D0)
![2y+12=0](https://tex.z-dn.net/?f=2y%2B12%3D0)
Subtract 12 from both sides.
![2y=-12](https://tex.z-dn.net/?f=2y%3D-12)
Divide both sides by 2.
![y=\dfrac{-12}{2}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B-12%7D%7B2%7D)
![y=-6](https://tex.z-dn.net/?f=y%3D-6)
Therefore, the value of y is -6.
Answer:
Exponential
Step-by-step explanation:
- Linear is a straight line no matter what.
- Quadratic lines makes a u or v shape that opens up, down, left, or right.
- Exponential is like a slanted 45° clockwise u and a bit stretched horizontally.
- Square root lines on a graph, looks more like a slanted L 90° clockwise.
- Inverse Variation would show its inverse, same as a mirror, it would be something similar to a hyperbola.
Hope This Helps!
I got 7.64 because you round the 3 to 4 since the 7, in the 3rd decimal place is higher than 5