An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?

 A. (10, 5)

Step-by-step explanation:

Inverse variation means xy = k

Given: x = 5, y = 10 --> k = 5(10) = 50

A. 10(5) = 50    This works!

B. -5(10) = -50  

C. -10(5) = -50

D. 5(-10) = -50

The only option that results in k = 50 is option A.

depends on how many days you are talking about

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)