A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.
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The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s
Answer:
x=-2.5
Step-by-step explanation:
2x-10÷4=3x
2x-2.5=3x
-2.5=x
Slope of the line passes through (5,10) and (7,12) is 1.
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through (
) and (
) is 
Now, putting 
we get,
Slope = 
= 
= 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1.
