B(-5,1) is one end point of the segment and m(-3,3) is the midpoint of a segment what are cordnates of point a

(-1,5)

Step-by-step explanation:

Let the coordinates of point A be (a,b).

We have that B is at (-5,1)

Assuming M(-3,3) is the midpoint of the segment AB, then

This means that:

and

This implies that 2*-3=a-5 and 3*2=b+1

-6=a-5 and 6=b+1.

a=5-6 and b=6-1

a=-1 and b=5.

Therefore the coordinates of A are:

(-1,5)

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

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