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irinina [24]
1 year ago
6

PLS HELP WILL MARK BRAINLYIST

Mathematics
1 answer:
Setler79 [48]1 year ago
4 0

Step-by-step explanation:

the solution to a system of functions (lines or any other form of curve) is the point (or points), where they intersect.

in this case : the point (2, 0)

FYI : if there is no intersection, then there is no solution at all (like with parallel lines).

if the curves fully overlap for at least some distance, then we have infinitely many solutions (at least for real numbers). like for identical lines.

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Reptile [31]

Answer:

The time it takes for the cannonball to hit the ground is 6.49 seconds.

Step-by-step explanation:

You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:

0 = -4.9t² + 30.5t + 8.4

To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:

\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}

In this case, being a = -4.9, b =30.5 and c =8.4  you have:

\frac{-30.5+-\sqrt{30.5^{2} -4*(-4.9)*8.4} }{2*(-4.9)}

Solving you get:

t1= -0.26 seconds and t2=6.49 seconds

Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>

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