On a movie set, an archway is modeled by the equation y = - 0. 5x2 + 3x, where y is the height in feet and x is the horizontal distance in feet. A laser is directed at the archway at an angle modeled by the equation - 0. 5x + 2. 42y = 7. 65 such that the beam crosses the archway at points A and B. At what height from the ground are the points A and B? Help me! Please!
En resumen
<img src="https://tex.z-dn.net/?f=y%3D-0.5x%5E2%2B3x%20%5Cto%20archway%20%20%5C%5C%20%20%5C%5C%20-0.5x%20%2B%202.42y%20%3D%207.65%20%5C%5C%20%20%5C%5C%20y%3D%20%287.65%2B0.5x%29%3A%202.42%5Cto%20y%3D%200.21x%20%2B3.
<img src="https://tex.z-dn.net/?f=y%3D-0.5x%5E2%2B3x%20%5Cto%20archway%20%20%5C%5C%20%20%5C%5C%20-0.5x%20%2B%202.42y%20%3D%207.65%20%5C%5C%20%20%5C%5C%20y%3D%20%287.65%2B0.5x%29%3A%202.42%5Cto%20y%3D%200.21x%20%2B3.16%5Cto%20laser%20%5C%5C%20%20%5C%5C%20%20%20%5Cleft%20%5C%7B%20%7By%3D-0.5x%5E2%2B3x%20%5Catop%20%7B%20y%3D%200.21x%20%2B3.16%7D%7D%20%5Cright.%20%20%5C%5C%20%20%5C%5C%20y%3Dy%20%20%5C%5C%20%20%5C%5C%20-0.5x%5E2%2B3x%3D%200.21x%20%2B3.16%20%5C%5C%20%20%5C%5C%20-0.5x%5E2%2B3x-%200.21x%20-3.16%3D%200%20%5C%5C%20%20%5C%5C%20-0.5x%5E2%2B2.79x%20-3.16%3D%200%20%5C%5C%20%20%5C%5C%20x_%20%7B1%5C%20y%5C%202%7D%20%3D%20%20%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5Cqquad%20a%3D-0.5%5Cquad%20b%3D2.79%5Cquad%20c%3D%20-3.16%20%5C%5C%20%20%5C%5C%20%20x_%20%7B1%5C%20y%5C%202%7D%20%3D%20%20%5Cfrac%7B-2.79%5Cpm%20%5Csqrt%7B%282.79%29%5E2-4%28-0.5%29%28-3.16%29%7D%7D%7B2%28-0.5%29%7D%20" />
<img src="https://tex.z-dn.net/?f=%20x_%20%7B1%5C%20y%5C%202%7D%20%3D%20%20%5Cfrac%7B-2.79%5Cpm%20%5Csqrt%7B7.78-6.32%7D%7D%7B-1%7D%20%5C%5C%20%20%5C%5C%20x_%20%7B1%5C%20y%5C%202%7D%20%3D%20%20%5Cfrac%7B-2.79%5Cpm%20%5Csqrt%7B1.46%7D%7D%7B-1%7D%20%5C%5C%20%20%5C%5C%20%20x_%20%7B1%5C%20y%5C%202%7D%20%3D%20%20%5Cfrac%7B-2.79%5Cpm%201.21%7D%7B-1%7D%20%5C%5C%20%20%5C%5C%20x_1%3D%202.79%2B1.21%5Cto%20%20%5Cboxed%7Bx_1%3D4%7D%20%20%5C%5C%20%20%5C%5C%20x_2%3D%202.79-1.21%5Cto%20%20%5Cboxed%7Bx_2%3D1.58%7D%20%20%5C%5C%20%20%5C%5C%20%20Points%20%5C%20A%20%5C%20y%5C%20B%20%5Cto%20%20%5C%5C%20%20%5C%5C%20A%3D%28x%2C%20y%29%20%5Cto%20%20%5Cboxed%7BA%3D%20%284%2C4%29%7D%20%5C%20height%20%3D%204%5C%5C%20%20%5C%5C%20B%3D%28x%2C%20y%29%20%5Cto%20%20%5Cboxed%7BB%3D%20%281.58%5C%20%2C3.49%29%7D%20%5C%20height%20%3D%203.49" />
Hope this can help you!
Espero que te sirva, salu2!
Iris number four ok ? Sorry un nuevo.
Hi! The distance around a triangle, better noun as de "perimeter of a triangle" is the total distance around the outside, which can be found by adding together the length of each side. Perimeter (P) = Length A + Length…
The equation for the slope m is given by : Using the points ( - 5, 0) and (q, - 8) Applying the equation of the slope : .
Im sorry, i dot not speak english * translatosr *.
90 + 8x - 1 + 4x + 7 = 18012x + 6 = 9012x = 84x = 7So : 1. 8x - 1 = 56 - 1 = 55°2. 4x + 7 = 28 + 5 = 35°.