What’s the distance between (-2,3) and (-4,0)

the distance between the two points is d = sqrt(13)

Step-by-step explanation:

It may help to plot the points (-2,3) and (-4,0).  The distance between them is the length of the hypotenuse of a right triangle.  The length of the base of this triangle is -2 - (-4), or 2, and the height of this triangle is 3.  Let's apply the Pythagorean Theorem (altho' we could just as well use the distance formula instead):  The square of the hypotenuse is 2^2 + 3^2, or 4 + 9, or 13.

Thus, the distance between the two points is d = sqrt(13).

hope this !

let me know

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)