Find the other endpoint of the line segment with the given endpoint and midpoint ​

The missing end point is (-15,-16)

Step-by-step explanation:

Mathematically, we have the formula for the midpoint as follows;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x,y) = (-10,-6)

(x1,y1) = (-5,4)

(x2,y2)= (?,?)

(-10,-6) = (-5 + ?)/2, (4 + ?)/2

(-5 + ?)/2 = -10

-5 + ? = 2(-10)

-5 + ? = -20

? = -20 + 5 = -15

(4 + ?)/2 = -6

4 + ? = 2(-6)

4 + ? = -12

? = -12 - 4 = -16

So we have the missing coordinates as;

(-15,-16)

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺