The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:

here,
a = 2
b = -1
c = -6
Putting these values in formula, we get




x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
For this case we have a quadratic equation,
, of the form 
Where:

We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.
These numbers are:

Then, the factorization is given by:

The roots are:

Answer:

Answer:
3.14×5(2)×6=471.24
Step-by-step explanation:
you have to take square of 5
The value of x will be2.217 and PR will be 13.085 units.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that,
Line PQ consists of two segments PR and RQ
So,
PQ = PR + RQ
17 = 5x+2 + x² - 1
x² + 5x - 16 = 0
The roots of the equation will be
x = [-5 + √(25 + 64) ] ÷ 2
x = 2.217
Now,
PR = 5(2.217) + 2 = 13.085
Hence "The value of x will be2.217 and PR will be 13.085 units".
For more about line segment,
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I don’t really know how to do this but the slope of 10 is gonna be