Answer:
Correction: Renee can build a fence in 12 hours.
Step-by-step explanation:
The other endpoint is (31, -4)
<em><u>Solution:</u></em>
Given that midpoint (23,- 10), endpoint (15.-16)
To find: The other endpoint
<em><u>The formula for midpoint is given as:</u></em>
![\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { the midpoint }(x, y) \text { is given as: }](https://tex.z-dn.net/?f=%5Ctext%20%7BFor%20two%20points%20%7D%5Cleft%28x_%7B1%7D%2C%20y_%7B1%7D%5Cright%29%20%5Ctext%20%7B%20and%20%7D%5Cleft%28x_%7B2%7D%2C%20y_%7B2%7D%5Cright%29%2C%20%5Ctext%20%7B%20the%20midpoint%20%7D%28x%2C%20y%29%20%5Ctext%20%7B%20is%20given%20as%3A%20%7D)
![m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)](https://tex.z-dn.net/?f=m%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
Here in this problem,
![m(x, y) = (23, -10)](https://tex.z-dn.net/?f=m%28x%2C%20y%29%20%3D%20%2823%2C%20-10%29)
![(x_1, y_1) = (15, -16)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%2815%2C%20-16%29)
![(x_2, y_2) = ?](https://tex.z-dn.net/?f=%28x_2%2C%20y_2%29%20%3D%20%3F)
<em><u>Substituting the values in formula we get,</u></em>
![(23,-10)=\left(\frac{15+x_{2}}{2}, \frac{-16+y_{2}}{2}\right)](https://tex.z-dn.net/?f=%2823%2C-10%29%3D%5Cleft%28%5Cfrac%7B15%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7B-16%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
On comparing both sides we get,
![23=\frac{15+x_{2}}{2} \text { and }-10=\frac{-16+y_{2}}{2}](https://tex.z-dn.net/?f=23%3D%5Cfrac%7B15%2Bx_%7B2%7D%7D%7B2%7D%20%5Ctext%20%7B%20and%20%7D-10%3D%5Cfrac%7B-16%2By_%7B2%7D%7D%7B2%7D)
![\begin{array}{l}{46=15+x_{2} \text { and }-20=-16+y_{2}} \\\\ {x_{2}=46-15 \text { and } y_{2}=-20+16} \\\\ {x_{2}=31 \text { and } y_{2}=-4}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B46%3D15%2Bx_%7B2%7D%20%5Ctext%20%7B%20and%20%7D-20%3D-16%2By_%7B2%7D%7D%20%5C%5C%5C%5C%20%7Bx_%7B2%7D%3D46-15%20%5Ctext%20%7B%20and%20%7D%20y_%7B2%7D%3D-20%2B16%7D%20%5C%5C%5C%5C%20%7Bx_%7B2%7D%3D31%20%5Ctext%20%7B%20and%20%7D%20y_%7B2%7D%3D-4%7D%5Cend%7Barray%7D)
Thus the other endpoint is (31, - 4)
Answer:
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Step-by-step explanation:
Answer:
area = 120 ft^2
Step-by-step explanation:
12 x 10 = 120 ft^2
(there are 2 parallelograms, 5 x 12 = 2 x 60 = 120 ft^2)
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.