P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = ( multiply both sides by 4 )

48 = k

P = ← equation of variation

When x = - 48, then

P = = - 1

mid point (x,y) = M (18, 24)

let J (- 4, - 2) be ( x1, y1)

     L(a,b) be (x2,y2)

using midpoint formula

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

or, (18, 24) = [(-4+a)/2, (-2+b)/2]

comparing corresponding element we get

18 = (-4+a)/2                 24 =(-2+b)/2

or 36 = -4+ a            or 48 = -2 +b

or a = 40                  or b= 50

L(40,50)