Answer:
100r^4 + 400r^3 + 600r^2 + 400r + 100
Step-by-step explanation:
Expanding ( r + 1 )^4 gives :-
r^4 + 4r^3 + 6r^2 + 4r + 1
So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-
100r^4 + 400r^3 + 600r^2 + 400r + 100
The ordered pair for the other end is (35, 3).
Here, first endpoint = (-15, -3)
Midpoint = (10, 0)
From the midpoint formula, we know that:
M = (x1 + x2)/2 , (y1 + y2)/2
So, here M = (10, 0)
x2 = -15
y2 = -3
We will separate the equation (1), in two parts to get the value of x1 and y1.
(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0
For x1,
(x1 + (-15))/2 = 10
x1 = 35
For y1,
(y1 + (-3))/2 = 0
y1 = 3
So, x1 = 35 and y1 = 3.
Therefore, the ordered pair that represents the other end of the segment is (35, 3).
Learn more about midpoint formula here -
brainly.com/question/11085164
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-17+32+-9+0+52+12+-14= 56
56 ÷ 7 = 8
mean is 8
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Step-by-step explanation: Let's begin by finding the
greatest common factor for the numbers 65 and 39.
I would make a factor tree and break up 65 and 39.
So 65 is 13 x 5 and 39 is 13 x 3.
Since the 13's match up, the greatest
common factor between 65 and 39 is 13.
For the variables, we use the smallest power on each of them.
So we use a^3 and b^4 to get 13a^3b^4 as our GCF.
