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Score: Question 3 18/13 Find the midpoint of the Homework 2-1 8/13 answered line segment shown below.I 8 Video...

Question

Score: Question 3 18/13 Find the midpoint of the Homework 2-1 8/13 answered line segment shown below.I 8 Video

Score: Question 3 18/13 Find the midpoint of the Homework 2-1 8/13 answered line segment shown below. I 8 Video



Answers

Find the midpoint of the given points. $$(1,7) \text { and }(9,-8)$$

Are being asked to find the midpoint between the points Negative 11 negative four and negative 17. Negative. Seven. To do this, we're gonna use the midpoint formula. So the find the X coordinate, we do accept one plus except to all divide by two. And to find the white cornet we do Weiss of one plus twice a to all divided by two. Let's go back and labour ordered pairs. So from the first ordered pair, negative 11 will be our X of one value and negative four will be the wife of one value from the second order pair. Negative 17 is our exit to value and negative. Seven Is our wives to value? Let's go ahead and substitute these values into our formula. When we do this, we're gonna have a negative 11 plus negative 17 all divided by two. And now we're gonna have a negative four plus negative seven. Divided by two. Well, negative 11 plus negative. 17 is negative. 28 it's getting divided by two. And then we have a negative four plus negative seven, which is negative. 11. It's getting divided by two well negative 28 divided by two is negative 40. And we can't produce the fraction they get 11/2. So we believe that, as is and now we found Arvin Point.

We need to find the midpoint of the given set of points are midpoint is given by adding the two X values and dividing by two and adding the two Y values. And dividing by two Rx. With label X one Y. One X two Y two. We substitute So our x values are 1.5 plus negative 5.7. And we divide by two and r Y values are 2.9 plus negative 3.6. And we divide by two. So when we simplify 1.5 plus a negative 5.7 simplifies to be negative 4.2 Divided by two and 2 nine Plus a negative 3.6 Becomes negative 0.7 two. So that would be are the coordinates of our midpoint.

We need to find the midpoint of the given points. So our midpoint formula is given by adding the two x. Values together and dividing by two And then adding R. two y values together and dividing by two. So we label our points X one y. 1 X two i 2. So this becomes negative seven halves plus negative five halves divided by two. And then we have 3/2ves Plus -11/2 divided by two. So negative seven. Since they have a common denominator we just look at the numerator. So negative seven plus a negative five. This becomes negative 12/2 divided by two. And then the other part other fraction has a common denominator. So we just look at the new minimum numerator three plus a negative 11 Gives us -8 divided by 2/2. So the top part of the fraction reduces to negative six over to and then we have negative 4/2. And this reduces to negative three negative two.

Okay, so we want to find our midpoint. That's going to be the some of our X terms over two and then the sum of our white terms over two. So it's progressed into our calculator, so we have 2.5 plus one point 7/2. That's a 2.1 comma, 3.1 when its 1.3 over two, which is a 0.9.


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