Answer:
(-2,-1); (-2,-4); (0,-1); (0,-3); (-1,-4); (-1,-3)
Step-by-step explanation:
Just reflect it starting at x=-2
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.
A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'
B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)
C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)
D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n
_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.
The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
Furthest to the left is a Hexagon. Middle is an Octagon. Furthest to the right is a Decagon.
Hey There!
The answer you are looking for is; $6.24!
Work:
You simply add $3.75 + $2.49 together.
Since .75 + .29 = 1.24, you carry the one over to the full dollar.
3 + 2 + 1 = 6.
= 6.24
Hope I helped! 5 stars and brainliest are always appreciated.
Answer:
Option A) reject null hypothesis if z is greater than 1.645
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 250
p = 30% = 0.3
Alpha, α = 0.05
Number of women belonging to union , x = 75
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Rejection Region:

So, the rejection region will be

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645
Option A) reject null hypothesis if z is greater than 1.645