Answer:
X-intercept: (1.5,0)
y-intercept: (0,-2)
the 1.5 can also be written as 3 over 2 in fraction form.
Hope this helps! :)
96t^2 is the distance represents in feet that the object falls in 6 seconds
Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.
ANSWER
6.63
Explanation:
Equation used: c2 = a2 + b2 ( rearranged due to having the two sides )
c2 = 12^2 + 10^2
c2 = 144 - 100
c2 = 44
c2 = 6.63 ( the square root of 44 )
<h3>
Answer: 5 < x < 21</h3>
Explanation:
Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.
The lower boundary for x is 13-8 = 5. It must be larger than this value.
At the same time, x must be smaller than 13+8 = 21 as well.
So x > 5 and x < 21 becomes 5 < x < 21
In short, x is between 5 and 21. It cannot equal either endpoint.