What is the length of a segment for an end point of (-5,1) and a midpoint of (-2,3)

12

Step-by-step explanation:

There is a very simple to explain way to solve this involving the formula for slope-

First, find slope (y1-y2)/(x1-x2)

(1-3)/(-5-(-2)

2/3

Second, find the change in x and multiply it by the slope.

-2-(-5)= 3 unit change in x

3*(2/3)= 6

Now we have the length of our first segment-- we must multiply by two (hence midpoint) to get our final answer for the whole segment length

6*2=12

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints