Answer:
2. reflect parrellelogram ABCD across the x-axis and dilate the result by a scale factor of two centered at the orgigin
Step-by-step explanation:
to correctly map the parallelograms together you need to dialate the shape, because we already know that its two times bigger
Set the function to equal zero:
![-x^2 - 5x + 50 = 0](https://tex.z-dn.net/?f=-x%5E2%20-%205x%20%2B%2050%20%3D%200)
To find the zeros, or solutions, to this problem, we will use the quadratic formula:
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Plug the values into the equation:
![a = -1, b = -5, c = 50](https://tex.z-dn.net/?f=a%20%3D%20-1%2C%20b%20%3D%20-5%2C%20c%20%3D%2050)
![x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B-5%5E2-4%28-1%29%2850%29%7D%7D%7B2%28-1%29%7D)
![x=\frac{5\pm\sqrt{25+200}}{-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B25%2B200%7D%7D%7B-2%7D)
![x=\frac{5\pm15}{-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm15%7D%7B-2%7D)
Solve for both plus and minus:
![\frac{5 + 15}{-2} = \frac{20}{-2} = -10](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%2B%2015%7D%7B-2%7D%20%3D%20%5Cfrac%7B20%7D%7B-2%7D%20%3D%20-10%20)
![\frac{5 - 15}{-2} = \frac{-10}{-2} = 5](https://tex.z-dn.net/?f=%5Cfrac%7B5%20-%2015%7D%7B-2%7D%20%3D%20%5Cfrac%7B-10%7D%7B-2%7D%20%3D%205)
![x = -10, x = 5](https://tex.z-dn.net/?f=x%20%3D%20-10%2C%20x%20%3D%205)
The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
Answer:
Its 0.4 meters!
Step-by-step explanation: