Paul hit the golf ball 255 feet.
Danika hit the golf ball 80 yards.
Paul hit the golf ball 1080 inches farther than Billy.
<span>P (0, 0) across x = -3 will change the x value. From 0 to -3 which is 3 units down, so the reflection will be another 3 units down ( points are the same distance from the reflection line) so the new x-value is -6 now just do the same thing for the y-value and you will get an image of P¹ ( -6, -6 ) </span>
Answer:
<em>The polygon area is </em>
<em />
Step-by-step explanation:
Points:
(2,7), (8,2), (6,11), (6,5), (11,6)
1. The area of the polygon could be calculate with the eqation:
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%26y_%7B1%7D%5C%5Cx_%7B2%7D%20%26y_%7B2%7D%5C%5Cx_%7B3%7D%20%26y_%7B3%7D%5C%5Cx_%7B4%7D%20%26y_%7B4%7D%5C%5Cx_%7B5%7D%20%26y_%7B5%7D%5Cend%7Barray%7D%5Cright%5D)
2. Replace the coordinates in equation for A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D)
3. Solve the determinant, and calculate A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%286%29%287%29%2B%2811%29%2811%29%2B%288%29%286%29%2B%286%29%282%29%5D-%5B%282%29%2811%29%2B%286%29%286%29%2B%2811%29%282%29%2B%288%29%285%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B42%2B121%2B48%2B12%5D-%5B22%2B36%2B22%2B40%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B223%5D-%5B120%5D%5C%5C%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B103%5D%3D51%2C5%20U%5E%7B2%7D)
<em>The polygon area is </em>
<em />
The image of (0,6) after a reflection over the y-axis is (0, 6)
<h3>How to determine the image of (0,6) after a reflection over the y-axis?</h3>
The point is given as:
(0, 6)
The rule of reflection is given as:
Reflection over the y-axis
The rule of reflection over the y-axis is represented as:
(x, y) = (-x, y)
So, we have:
(0, 6) = (-0, 6)
Evaluate the expression
(0, 6) = (0, 6)
Hence, the image of (0,6) after a reflection over the y-axis is (0, 6)
Read more about reflection at:
brainly.com/question/4289712
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Answer:
20
Step-by-step explanation:
In area you have to multiply so 10 x ? = 200
10 x 20 = 200