A model rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -8.0x^2 + 12X +25.8, Where x is the horizontal distance, in meters from the starting point on the roof and y is the height, in meters of the rocket above ground. how far horizontally from the starting point will the rocket land. round your answer to the nearest hundred.
yea oobleck is a dweeb, answers are literally what this website is for. all we do is hand out free answers
the rocket will land where the height is zero, right? So just solve
-8.0x^2 + 12X +25.8
in the usual ways, such as the quadratic formula.
sorry...
-8.0x^2 + 12X +25.8 = 0
To find the horizontal distance from the starting point where the rocket will land, we need to find the x-coordinate when the rocket hits the ground. This happens when the height, y, is equal to zero.
We are given the equation y = -8.0x^2 + 12x + 25.8. So we can set this equation equal to zero and solve for x.
-8.0x^2 + 12x + 25.8 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -8.0, b = 12, and c = 25.8.
Substituting these values into the formula:
x = ( -12 ± √(12^2 - 4(-8.0)(25.8)) ) / (2(-8.0))
Simplifying further:
x = ( -12 ± √(144 + 825.6) ) / (-16)
x = ( -12 ± √969.6 ) / (-16)
x = ( -12 ± 31.13 ) / (-16)
Now we have two possible values for x: (-12 + 31.13) / (-16) and (-12 - 31.13) / (-16).
Calculating these values:
x = 19.13 / (-16) = -1.196
x = (-43.13) / (-16) = 2.695
We discard the negative value, as x represents distance and should be positive. Therefore, the rocket will land approximately 2.7 meters horizontally from the starting point.
Rounding to the nearest hundred, the rocket will land approximately 300 meters horizontally from the starting point.
Agreed. i understand that test can be challenging sometimes, and you feel like giving up, but keep trying.
Looks like you better start studying. We generally don't just hand out answers to cheaters here.
And besides, we do not have access to all curricula, so we have no idea what it is you need to know.
So, post a few questions that bother you, and we will try to help you learn to solve them.