A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) - (x + 5, y - 3)
(x, y) - (x + 5, y + 3)
(x, y) - (x - 3. y + 5)
(X, Y) - (x + 3, y + 5)

Any time you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5.Moving left or right affects the x coordinate and moving left is negative so x - 3(x - 3, y + 5)So the answer is Option C).

Read more on -

Any time you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5.

Moving left or right affects the x coordinate and moving left is negative so x - 3

(x - 3, y + 5)

So the answer is Option C)

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)