The Coiling Dragon Cliff Skywalk in China is 128 feet longer than the length 3 (in feet) of the Tianmen
Skywalk in China. The world's longest glass-bottom bridge, located in China's Zhangjiaji National Park, is
about 4.5 times longer than the Coiling Dragon Cliff Skywalk. Write and simplify an expression
that represents the length (in feet) of the world's longest glass-bottom bridge.
expression:
simplified expression:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.