Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location
Answer:
![\huge{\boxed{\sf{ ( 3 , 3 ) }}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B%5Csf%7B%20%28%203%20%2C%203%20%29%20%7D%7D%7D)
Step-by-step explanation:
Co-ordinates of point A = ( -7 , 1 )
Co-ordinates of point M = ( -2 , 2 )
Let the co-ordinates of point B be ( x , y )
A ( -7 , 1 )
( x1 , y1 )
B ( x , y )
( x2 , y2 )
Now,
Midpoint = ![(\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%20%2C%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20%29)
⇒![( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )](https://tex.z-dn.net/?f=%28%20-2%20%2C%202%20%29%20%3D%20%28%20%5Cfrac%7B-7%20%2B%20x%7D%7B2%7D%20%20%2C%20%5Cfrac%7B1%20%2B%20y%7D%7B2%7D%20%29)
Finding the value of x :
⇒![-2 = \frac{-7 + x}{2}](https://tex.z-dn.net/?f=-2%20%3D%20%5Cfrac%7B-7%20%2B%20x%7D%7B2%7D)
Do cross multiplication
⇒![-4 = -7 + x](https://tex.z-dn.net/?f=-4%20%3D%20-7%20%2B%20x)
⇒![-7 + x = -4](https://tex.z-dn.net/?f=-7%20%2B%20x%20%3D%20-4)
⇒![x = -4 + 7](https://tex.z-dn.net/?f=x%20%3D%20-4%20%2B%207)
⇒![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
Now, finding the value of y
⇒![2 = \frac{1+y}{2}](https://tex.z-dn.net/?f=2%20%3D%20%5Cfrac%7B1%2By%7D%7B2%7D)
Do cross multiplication
⇒![4 = 1+y](https://tex.z-dn.net/?f=4%20%3D%201%2By)
⇒![1+y = 4](https://tex.z-dn.net/?f=1%2By%20%3D%204)
⇒![y = 4 - 1](https://tex.z-dn.net/?f=y%20%3D%204%20-%201)
⇒![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
Hence, The co-ordinates of point B = ( 3 , 3 )
Hope I helped!
Best regards!
~![\text{ TheAnimeGirl}](https://tex.z-dn.net/?f=%5Ctext%7B%20TheAnimeGirl%7D)
Answer:
you multiply 10*2=20
and 2+3=5
Step-by-step explanation:
is this right or wrong?
The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;
x + y = 10
x + y = 105x + 7y = 66
<h3>Simultaneous equation</h3>
- Small car = 5 people
- Large car = 7 people
- Total cars = 10
- Total number of people = 66
Let
Number of small cars rented = x
Number of large cars rented = y
x + y = 10
x + y = 105x + 7y = 66
Learn more about simultaneous equation:
brainly.com/question/16863577
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