Convert the rectangular coordinates (4√3,−4) to polar form. Let r>0 and 0≤θ<2π. Enter your answer by filling in the boxes. Enter coordinates as simplified fractions or radicals in simplest form.

( _ , _ )

(8,150)

Step-by-step explanation:

Polar form is in,

(r,theta).

To find r, apply pythagorean theorem using both coordinates to find r.

To find theta, since we know the opposite and adjacent side, apply the tangent function.

Apply inverse tan function

Since the degrees have to be in between 0 and 360. Add 180 to -30.

So the answer is

(8,150).

what

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)