Given that 2004-02-03-02-00_files/i029.jpg is an altitude of triangle qrs, 2004-02-03-02-00_files/i0290001.jpg , and qr = 2x – 5, find qr

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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)