The location of point j is (-5,4). the location of point m is (10,-1). find the location of points k and l. point k is 2/5 of the way from j to m and point l is 4/5 of the way from j to m

The location of point K is (1 , 2)

The location of point L is (7 , 0)

Step-by-step explanation:

* Lets revise how to find the location of a point between two points

- If point (x , y) is between two points (x1 , y1) , (x2 , y2) at a ratio

 m1 from (x1 , y1) and m2 from (x2 , y2)

∴ x = [x1(m2) + x2(m1)]/(m1 + m2)

∴ y = [y1(m2) + y2(m1)]/(m1 + m2)

* Now lets solve the problem

- Point J is (-5 , 4) and point M is (10 , -1)

∵ Point K is 2/5 of JM

∴ m1 = 2 ⇒ ratio from K to J

∴ m2 = 5 - 2 = 3 ⇒ ratio from K to M

∴ x = [(-5)(3) + (10)(2)]/(2 + 3) = [-15 + 20]/5 = 5/5 = 1

∴ y = [(4)(3) + (-1)(2)]/(2 + 3) = [12 + -2]/5 = 10/5 = 2

* The location of point K is (1 , 2)

∵ Point L is 4/5 of JM

∴ m1 = 4 ⇒ ratio from K to J

∴ m2 = 5 - 4 = 1 ⇒ ratio from K to M

∴ x = [(-5)(1) + (10)(4)]/(2 + 3) = [-5 + 40]/5 = 35/5 = 7

∴ y = [(4)(1) + (-1)(4)]/(2 + 3) = [4 + -4]/5 = 0/5 = 0

* The location of point L is (7 , 0)

answer: kljdcdhjbdlchjad oac apoich a

step-by-step explanation:

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 ☺