Kianna lives in a town where the streets are laid out in a grid. She uses a coordinate plane to draw a map of the town, with her school at the origin. Kianna plots points
for the locations of her house and her best friend Jo's house on the grid.
Kianna's house is at the point (4,2).
Kianna's and Jo's houses are reflections of each other across both axes.
NORTH
6
2
WEST
EAST
-6
2
4
6
-2
SOUTH
1. What are the coordinates of Jo's house? Explain how you know in the space
below.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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)

step-by-step explanation: