Answer:
Step-by-step explanation:
Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)
64x^3+1
(4x+1)(16x^2-4x+1)
Yolanda had 47 customers on Saturday from 6 to 7 pm. Then on Monday she only had 20 customers from 5pm to 6pm.
Question: Let’s find how much percentage rate did Yolanda’s customer’s decreased over time.
Solution
=> Saturday = 47 customers.
=> Monday = 20 customer.
Let’s start solcing
=> 47 – 20 = 27
There are 27 customer that were lost over time.
=> 27 / 47 = 0.57 * 100 = 57%
Let’s try checking our answer:
=> 47 * .57 = 26.79 or round off to 27, since we rounded off also our percentage.
Answer:
![(x,y)=(0,\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C%5Cfrac%7B-2%7D%7B3%7D%29)
Step-by-step explanation:
Given : Vertices of Triangle
,
and ![R(x_3,y_3)=(2,-3)](https://tex.z-dn.net/?f=R%28x_3%2Cy_3%29%3D%282%2C-3%29)
To find : Centroid of a triangle
The centroid of a triangle is the point of intersection of the three medians of the triangle.
The formula to calculate the centroid of a triangle is:
![(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7Bx_1%2Bx_2%2Bx_3%7D%7B3%7D%2C%5Cfrac%7By_1%2By_2%2By_3%7D%7B3%7D%29)
Where,
are the coordinates of the centroid
Substituting the values in the formula gives us:
![(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7Bx_1%2Bx_2%2Bx_3%7D%7B3%7D%2C%5Cfrac%7By_1%2By_2%2By_3%7D%7B3%7D%29)
![(x,y)=(\frac{-4+2+2}{3},\frac{-1+2-3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7B-4%2B2%2B2%7D%7B3%7D%2C%5Cfrac%7B-1%2B2-3%7D%7B3%7D%29)
![(x,y)=(\frac{0}{3},\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7B0%7D%7B3%7D%2C%5Cfrac%7B-2%7D%7B3%7D%29)
Therefore, ![(x,y)=(0,\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C%5Cfrac%7B-2%7D%7B3%7D%29)