The coordinates of B would be (2, -4)
In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.
Value of x
(A + B)/2 = M
(-8 + B)/2 = -3
-8 + B = -6
B = 2
Then we can do the same for the y values
Value of y
(A + B)/2 = M
(-2 + B)/2 = -3
-2 + B = -6
B = 4
The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>
Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope =
(equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope=
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
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Answer:
AM=26
Step-by-step explanation:
Since M is the midpoint of the number line, this means that each side is equal to each other. The midpoint evenly splits it up in half, and since each side is equal that means we can set up an equation making x+20 and 5x-4 the same value.
x+20 = 5x-4
Now you simply carry over, so that x is all by itself. I carried the -4 to the other side first. To carry it over you have to add 4 on both sides, leaving this:
x+24=5x
Then I carried the x to the other side by subtracting -x (or if it helps, imagine an invisible one next to the x so it would be -1x) on both sides.
This gives me: 24=4x
Now that all the x's are by themelves, we can divide 24 by 4 to get our x value:
6=x
Now all we need to do is plug that in for the length of AM:
6+20, which equals our final answer 26
I hope you found this helpful :)
Answer:
I believe it’s 9 1/4
Step-by-step explanation:
4(5) - 2 =
20 - 2 =
18
Your answer is D