Which of the following tools can be used to prove a statement using coordinate methods?

the distance formula
the equation of a line
theorems about parallel lines
the midpoint formula
theorems about perpendicular lines

We can define the coordinate system as a set of values, showing exact positions. When we graph the points, we write as a pair of numbers. Like (3,2), (-2,3) etc.

So, the following tools can be used to prove a statement using coordinate methods:

So, all are correct answers.

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)

if im not mistaking its

step-by-step explanation: