Answer:
-1.5 (3n-2)
Step-by-step explanation:
Factor -1.5 out of -4.5n+3
Answer:
1 1/15 or 16/15
Step-by-step explanation:
Find the common denominator.
25/15 - 9/15 = 16/15
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Answer:![(x_1,y_1)=(1,-2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C-2%29)
![(x_2,y_2)=(-8,-2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%28-8%2C-2%29)
Step-by-step explanation:
Given
Co ordinates of vertices(1,-6) and (-8,-6)
When two points is given then Length of two points is given by
![L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B%5Cleft%20%28%20x_2-x_1%5Cright%20%29%5E2%2B%5Cleft%20%28%20y_2-y_1%5Cright%20%29%5E2%7D)
![L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B%5Cleft%20%28%201-%5Cleft%20%28%20-8%5Cright%20%29%5Cright%20%29%5E2%2B%5Cleft%20%28%20-6%2B6%5Cright%20%29%5E2%7D)
![L=\sqrt{9^2}=9 units](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B9%5E2%7D%3D9%20units)
Perimeter of rectangle is =26 units
Let the other side be x
thus
![2\left ( x+9\right )=26](https://tex.z-dn.net/?f=2%5Cleft%20%28%20x%2B9%5Cright%20%29%3D26)
x+9=13
x=4 units
therefore to get the other two co ordinates
such that the length of that side is 4 units is
![(x_1,y_1)=(1,-2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C-2%29)
![(x_2,y_2)=(-8,-2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%28-8%2C-2%29)
Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates
To verify the above two distance between two points must be 13 units
Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = ![\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDimension%20of%20the%20image%7D%7D%7B%5Ctext%7BDimension%20of%20preimage%20or%20original%7D%7D)
Since, S is being dilated with a scale factor to form T,
So, the figure S is the preimage and figure T will be the image,
Length of one side of image T = 8
Length of one side of preimage = 2
Therefore, Scale factor = ![\frac{8}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%7D)
= 4
Scale factor by which figure S has been dilated to form figure T is 4.
2 pints per quart. Therefore, 11 pints/2 pints per quart = 5.5 quarts.
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