Answer:
Step-by-step explanation:
To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):
(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)
Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem): 
The answer is the square root of 61.
Draw a diagram as shown below.
The diagonals are equal in length. Because AB || DC and AD || BC, the quadrilateral is a square.
Because the diagonals bisect each other at O, therefore
DO = BO = 10.
Likewise,
AO = CO = 10
Because AB = 13, therefore DC = 13.
The perimeter of ΔCOD is CO + CD + DO = 10 + 13 + 10 = 33 in
Answer: 33 in
It follows from the definition of the binomial coefficient:
So we have
That is, 
gets absorbed into the numerator's factorial, and we introduct 
into the denominator. Now, 
, so we get
as required.
Answer:
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Step-by-step explanation:
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