When (2x-20)＋86＝0
2x-20＝-86
2x＝-46
x＝-23
Answer:
Step-by-step explanation:
The square in the middle has a length and width of 3, so multiply. <u>9</u>.
All of the triangles have a base of 3 and a height of 2. The area equation for triangles is
So base*height is 6. Divide that by 2 or multiply by 1/2.
You get 3. There are 4 triangles, so multiply <em>that</em> by 4. <u>12</u>.
Add 12 and 9 together, and you get:
I hope this helps!
It's supposed to be (0,-3) but I guess your answer should be A
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.
Hey !
I am going to explain what I did to get the answer...
I multiplied $29,160 by 30 = $874,800
Then I multiplied $84,460 by 30 = $2,533,800
Then I subtracted the results = a difference of $1,659,000
So the answer to your question is, $1,659,000 is the difference.
I hope I was able to help you out :D <span />
