Please help me answer the question

Step-by-step explanation:

By Pythagoras' Theorem, the sum of squares of the side lengths of a right-angled triangle is the square of its hypotenuse.

In Question 11, 2^2 + 1^2 = a^2. a = √5.

In Question 12, 2^2 - 1^2 = b^2. b = √3.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

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