Thor and Zeus strike with their hammers. The higher they raise their hammers before they strike, the louder the sound of the strike. The following equation gives the loudness of Thor's strike (in decibels) as a function of the height from which he strikes (in centimeters). S = 3h+25 The graph of the loudness of Zeus's strike (in decibels) as a function of the height from which he strikes (in centimeters) is shown below. Whose loudness increases more per additional centimeter of height? Choose 1 A. Thor's B. Zeus's C. The increase in loudness per centimeter is the same for both Whose strike is louder when he strikes from a height of 40 centimeters? Choose 1 A. Thor's B. Zeus's C. The strikes are equally loud

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

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.