Ihave one more chance on this

which describes the cross section of a square prism that passes through vertices a, b, and c?

a triangle with three equal sides, all measuring 8 inches
a triangle with three equal sides, all longer than 12 inches
a triangle with only two equal sides; one side measures 8 inches, and two sides measure 12 inches
a triangle with only two equal sides; one side is longer than 8 inches and two sides of equal length that are longer than 12 inches

a triangle with only two equal sides; one side is longer than 8 inches and two sides of equal length that are longer than 12 inches

Step-by-step explanation:

AB = √8² + 8² = 11.3

AC =  √8² + 12² = 14.4

BC = √8² + 12² = 14.4

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)