Point a is located at (2, 6), and point m is located at (−1, 8). if point m is the midpoint of segment ab, find the location of point b.

The location of point B is (-4, 10)

Solution:

Given that, Point A is located at (2, 6), and point M is located at (−1, 8)

Point M is the midpoint of segment AB

To find: Location of Point B

The midpoint "m" of a line with endpoints is given as:

Here in this sum,

Point M (-1, 8) is the midpoint

Substituting the values in formula, we get

Compare the L.H.S and R.H.S

Thus location of point B is (-4, 10)

she will most likely have 33  

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for