The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:




This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:

You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)

= 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:



As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:

and

So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
Let m be the distance (in miles) she runs in a month
and w be the distance (in miles) she runs in a week
since the total distance she run in a week is one third of what she run in a month, in equation form
w = m/3
to calculate the distance she run in a month,
m = 3w
m = 3(6 miles)
m = 18 miles in a month
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,





Divide both sides by 2.

Splitting the middle term, we get



Using zero product property, we get
or 
or 
For
, the side AE is negative. So,
is not possible.
Therefore, the required solution is
.
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
Is there a reading? Wnenenwen