Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where is the initial height, is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
base = 15 units
Step-by-step explanation:
We are given area of a triangle = 52.5 sq. units
Height is given as 7 and we have to find the base.
Using formula for area of triangle:
Area of triangle =
52.5 * 2 = base × 7
105 = base × 7
base = 15
Answer:
The answer is
<h2>( - 8 , 2)</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J(-4,6) and P(-12,-2)
The midpoint is
<h3>
</h3>
We have the final answer as
<h3>( - 8 , 2)</h3>
Hope this helps you
The consecutive integers are i, i+1, i+2, i+3.
3 less than sum of the integers
= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3