Answer:
y = 
x -- 2
Step-by-step explanation
We need to fill out the formula y = mx + b.
First, we must find out what each part of that formula means.
mx = slope
b = y-intercept
y = solution (Always unknown)
We already know the slope of the formula, so we can fill that out.
y = x + b
If it has a slope of -3/2, then that means it is moving down 3 points and moving to the right 2 points to find the next line. because rise over run.
If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.
This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.
The next point it will reach is (0, -2) This gives us the y-intercept of the equation.
Now we can fill out the rest of the formula!
y = 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.
Answer:
I got x = 1
Step-by-step explanation:
First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:
And since -2.5 is less than -1 this statement is true. x does in fact equal 1
So the exchange rate from one US dollar to a Canadian dollar is equal to 1.30 Canadian dollars. So in this current situation if you swapped all of your US dollars for Canadian dollars you would have $13000 Canadian dollars
