ParallelUniverse
18.11.2020 •
Social Studies
Write a social letter to invite your friend for the party
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Ответ:
Dear Friends, I hope you all are doing fine. I have something very special to tell you which is that my birthday is on its way and I want you all to come over to my place on the (Date: Dd/MM/YY) at (Time) for the birthday party I have arranged for all the friends and family. (Describe in your words)
Explanation:
Ответ:
9514 1404 393
y = 21
Step-by-step explanation:
In straightforward fashion, we can find the midpoints of the two segments, and set the distance between them equal to 10.
M = midpoint of AB
M = (A+B)/2 = ((-1, 0) +(-3, 6))/2 = (-4, 6)/2 = (-2, 3)
N = midpoint of CD
N = (C+D)/2 = ((3, 1) +(5, y))/2 = (8, 1+y)/2 = (4, (1+y)/2)
Then the distance MN is given by the distance formula.
|N-M| = 10 = √((4 -(-2))² +((1+y)/2 -3)²) . . . . . distance formula*
100 = 36 +((1+y)/2 -3)² . . . . . square both sides
64 = ((1 +y)/2 -3)² . . . . . . . . . subtract 36
8 = (1 +y)/2 -3 . . . . . . . . . . . . (positive) square root
11 = 1+y/2 . . . . . . . . add 3
22 = 1+y . . . . . . . . . multiply by 2
21 = y . . . . . . . . . . . subtract 1
* The distance formula is an application of the Pythagorean theorem. Basically, the differences of x- and y-coordinates are taken to be the legs of a right triangle. They length of the hypotenuse is the distance between the two points.
d² = (x2 -x1)² +(y2 -y1)² . . . . . . . from the Pythagorean theorem
d = √((x2 -x1)² +(y2 -y1)²) . . . . . the usual distance formula