Use the Pythagorean Theorem to solve for the missing side. Round to the nearest whole number. Show your solution."
(4 Points)
24
6

If there is an image I cannot see it, so I solved it two different ways:

If 24 is the hypotenuse and 6 is one of the other sides:

6^2+x^2=24^2

36+x^2=576

x^2=540

x~23

If 24 is not the hypotenuse and is a side along with 6:

24^2+6^2=x^2

576+36=x^2

sqrt(612)=x

x~25

√540 ≈ 23.2 or 23

Step-by-step explanation:

You only gave two numbers 24 and 6 and you asked for the missing side length using the Pythagorean Theorem. So because you have the number 24 which is the biggest number compared to 6 so we know that the equation for (PT) is a^2 + b^2 = c^2 so set it up like this a^2 + 6^2 = 24^2. You subtract do to wanting a side length and not the hypotenuse. When you get a number you are not finished you have to find the square root which is that number squared and you can use a number line or a calculator to help you figure out what it is equal to approximately.

a^2 + 6^2 = 24^2

a^2 - 36 = 576

       -36    -36

              =  540

a^2 = 540

a = √540

√540 ≈ 23.2 or 23  

180 square centimeters

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)