
<h2>
Explanation:</h2>
We know that the slope of a line is given by:

<h2>Learn more:</h2>
Proportional relationships lines, rates of change, and slope:
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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:
9.9225 E 34.
E = exponent
= 9.9225 x 10^34
Step-by-step explanation:
Answer:
Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
Step-by-step explanation:
We are given that,
The amount of yards for making one costume of different fabrics are,
White fur fabric =
=
yards
Blue striped fabric = 1 yard
Pink felt for ears =
yards.
So, we have,
The amount required to make 8 costumes are,
White fur fabric =
= 3×4 = 12 yards
Blue striped fabric = 1×8 = 8 yards
Pink felt for ears =
= 2 yards.
Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.