The first one is the answer to the first question.
the second one is the answer to the second question
Answer:
The dilation on any point of the rectangle is 
.
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
![G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2Bk%5Ccdot%20%5BG%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Coordinates of the point G, dimensionless.
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of the point G', dimensionless.
If we know that 
, 
and 
, then scale factor is:
![(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]](https://tex.z-dn.net/?f=%285%2C-5%29%20%3D%20%280%2C0%29%20%2Bk%5Ccdot%20%5B%282%2C-2%29-%280%2C0%29%5D)
The dilation on any point of the rectangle is:
![P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Ccdot%20%5BP%28x%2Cy%29-%280%2C0%29%5D)
(2)
The dilation on any point of the rectangle is .
Answer:
20
Step-by-step explanation:
25=50% so minus 5
Answer:If y = 7 what is the value of x would be 7
Step-by-step explanation:
Your answer is ..
First,
we have to turn our mixed fractions into an improper fraction.
=4 1/8 which is 33/8(4 x 8 + 1).
Our next mixed fraction,
we have 1 1/7 which is 8/7(1 x 7 + 1).
Now, we have the get the same denominator in order to subtract.
SO, both 8 and 7 goes in to 56. So we multiply both mixed fractions to get the same denominator.
(Tip: what ever you do to do numerator, you do to the denominator; and the other way around).
33/8 : 33*7=231 and our denominator, 8*7=56
So our improper fraction now,
231/56
Our next fraction 8/7,
7*8= 56 and our numerator 8*8=64.
=64/56
So, now we subtract.
231-64= 167 and our common denominator. 167/56
Now we divide 167 by 56 which is 2 and remainder is 55.
So, you should end up with a mixed fraction, 2 55/56.
