Answer:
The coordinates of point B are (6,7).
Step-by-step explanation:
Given points are
Blue = A(-4,8)
Purple = M(1,7.5)
Green = B
It is given that point M is the midpoint of point A and B.
Let coordinates of points are (a,b).
Midpoint of two points is
![Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})](https://tex.z-dn.net/?f=Midpoint%3D%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cdfrac%7By_1%2By_2%7D%7B2%7D%29)
![M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})](https://tex.z-dn.net/?f=M%3D%28%5Cdfrac%7B-4%2Ba%7D%7B2%7D%2C%5Cdfrac%7B8%2Bb%7D%7B2%7D%29)
Coordinates of midpoint are (1,7.5).
![(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})](https://tex.z-dn.net/?f=%281%2C7.5%29%3D%28%5Cdfrac%7B-4%2Ba%7D%7B2%7D%2C%5Cdfrac%7B8%2Bb%7D%7B2%7D%29)
On comparing both sides we get
![1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6](https://tex.z-dn.net/?f=1%3D%5Cdfrac%7B-4%2Ba%7D%7B2%7D%5CRightarrow%202%3D-4%2Ba%5CRightarrow%20a%3D6)
![7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7](https://tex.z-dn.net/?f=7.5%3D%5Cdfrac%7B8%2Bb%7D%7B2%7D%5CRightarrow%2015%3D8%2Bb%5CRightarrow%20b%3D7)
Therefore, the coordinates of point B are (6,7).
Answer:
No
Step-by-step explanation:
No because the 8x^3 is all one term since it is not separated by any signs.
Plug all the point into your calculator. Not sure if you need it y=mx+b but the R for that is r= -1
Given equation is
.
Now we need to find about what are the key aspects of the graph of
, where b is a real number.
We know that square of any number is always positive.
then
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by
units as compared to the graph of parent function ![f\left(x\right)=x^2](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3Dx%5E2)