Scale factor is equal to 1/2, since the point went from 10 to 5
To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
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2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.
Answer:
Option A m(3m + 4)(3m - 4)
Step-by-step explanation:
we have
Factor m
![m[9m^{2}-16]](https://tex.z-dn.net/?f=m%5B9m%5E%7B2%7D-16%5D)
Apply difference of squares
we know that
![[9m^{2}-16]=(3m+4)(3m-4)](https://tex.z-dn.net/?f=%5B9m%5E%7B2%7D-16%5D%3D%283m%2B4%29%283m-4%29)
substitute
![m[9m^{2}-16]=m(3m+4)(3m-4)](https://tex.z-dn.net/?f=m%5B9m%5E%7B2%7D-16%5D%3Dm%283m%2B4%29%283m-4%29)
