In Exercises 19–30, find the midpoint of each line segment with t...

Question

In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)

Accepted Answer

But the line segment bounded by the given endpoints by squares of 147 - and 23 square to 3 12. Find the midpoint. So the midpoint is given by the midpoint formula where we have in parentheses X one plus X two divided by two comma Y one plus Y two divided by two. So pretty much adding the X values together and the Y values get up each point and dividing them both by two. So if you look here, our first one would be X one plus X two which is five squares of one square roots of 1 Plus 23 Squares of three. Now we can add this shelter right now directly because they don't have the same radical. Let's see if we can make the same radical. Let's look at 1:47. Now let's see if 147 can be simplified well Of 1 47. We can see what numbers are divisible until 147. So we can't be divisible by two because it's not an even number. Let's try three. 147-3 is actually 49. Let's try this as 49 times three plus spirits of three. Now we notice here we have a 49 which is a perfect square, we can take the square root of that perfect square and take it outside the radical. We know score to 49 and seven direct that is five times seven on the outside with squared of three. Still on the inside Plus 23 scoops of three. Which means we get 35 squares of three plus 23 squares of three which we added together. We get 58 squares of three. Let's do the same for the whites. We have Y. One plus Y. Two. Our first Y. Is negative 12. Our second Y. 12. Which means this just goes to zero. Let's plug what we got into our midpoint formula. Go back here, we will get 58 squares of 3/ comma 0/2. Now. 58 squares of 3/2. We can simplify this. 58 52 gives us 29 squared of three. Just drops down to 0/2 which is just zero. We can't simplify this any further. So our answer is 29 squares of three comma zero wishes answer. C. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)

Key Concepts

Midpoint Formula

Coordinate System

Square Roots

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