The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

We substitute the points given above to the formula as follows:

midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2

So, the midpoint is located at point 5/6, 3/2.

5 0

3 years ago

Rationalize the expression. Write it in simplest form.<br><br> 9x/√-2x-11

GenaCL600 [577]

This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
$\frac{9x}{ \sqrt{-2x-11} }$
If you rationalize the denominator, you would get this expression:
$\frac{9x}{ \sqrt{-2x-11} } * \frac{ \sqrt{-2x-11} }{ \sqrt{-2x-11} }$
which, after simplifying, looks like this:
$\frac{9x \sqrt{-2x-11} }{-2x-11}$
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!

3 0

2 years ago