Answer:
= -27a^3+108a^2-144a+64
Step-by-step explanation:
Simplify:
=64-144a+108a^2-27a^3
=64+-144a+108a^2+-27a^3
Answer
= -27a^3+108a^2-144a+64
Answer:
10
Step-by-step explanation:
there
![f(x)=mx+b\to y=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb%5Cto%20y%3Dmx%2Bb)
We have two points:
![(-3,\ 0);\ (-4,\ 7)](https://tex.z-dn.net/?f=%28-3%2C%5C%200%29%3B%5C%20%28-4%2C%5C%207%29)
The point slope form of the line:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute
![m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B7-0%7D%7B-4-%28-3%29%7D%3D%5Cdfrac%7B7%7D%7B-1%7D%3D-7)
![y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21](https://tex.z-dn.net/?f=y-0%3D-7%28x-%28-3%29%29%5C%5C%5C%5Cy%3D-7%28x%2B3%29%5C%5C%5C%5Cy%3D-7x-21)
Answer:
![f(x)=-7x-21](https://tex.z-dn.net/?f=f%28x%29%3D-7x-21)
Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by
![(x, y) \rightarrow(-y, x)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%28-y%2C%20x%29)
The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' = ![(1,1) \rightarrow(-1,1)](https://tex.z-dn.net/?f=%281%2C1%29%20%5Crightarrow%28-1%2C1%29)
Thus, the coordinates of the resulting point B' is (-1,1)
For example, the three 2s.
in the box show that there are 3 groups of 2 objects each.You can write the multiplication equation 3 2 = 6 to show that 3 groups of 2 equals 6 in all.You can also write the division equation 6 2 = 3 to show that 6 divided into groups of 2 equals 3 groups.