If u varies directly with v and u=6 when v= -7, what is u when v=4. show steps. 

direct variation

u=kv

6=k(-7)

k=-6/7

u=kv

u =-6/7 * 4

u =-24/7

u = -24/7 or -3 3/7

Since u varies directly with v, then

u = kv ( k is the constant of variation )

to find k use u = 6 when v = - 7

k = = = -

thus u = - v

when v = 4, then

u = - × 4 = -

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this