7.1.9 Practice 2
The flag of Colombia
ctangle that is 6 ft long with three horizontal strips.
The top stripe is 2 ft tall and is yellow
• The middle stripe is 1 ft tall and is blue.
- The bottom stripe is also 1 ft tall and is red.
1. A scale drawing of the Colombian flag is made using a scale of 1 cm to 2 ft. Complete the
sentences below to give the new dimensions.
The flag will be
cm long and
cm tall.
The yellow rectangle is
cm tall and the red and blue rectangles are each
cm tall.

a) 15/7

step-by-step explanation:

answer: b

step-by-step explanation:

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)