$\bf c^2=a^2+b^2\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
------\\
a=m^2-n^2\\
b=2mn
\end{cases}\\\\\\ c^2=(m^2-n^2)^2+(\underline{2mn})^2
\\\\\\
c^2=m^4-2m^2n^2+n^4+\underline{2^2m^2n^2}
\\\\\\
c^2=m^4-2m^2n^2+n^4+{4m^2n^2}
\\\\\\
c^2=m^4+2m^2n^2+n^4\impliedby \textit{perfect square trinomial}
\\\\\\
c^2=(m^2+n^2)^2\implies c=\sqrt{(m^2+n^2)^2}\implies c=m^2+n^2$

7 0

3 years ago

Which function has a maximum with the same maximum value as..?

Bad White [126]

9514 1404 393

Answer:

C. -√(x+6) -2

Step-by-step explanation:

The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.

The ranges of the offered answer choices are ...

A. y ≥ -3

B. y ≥ -2

C. y ≤ -2 . . . . . matches that of the given function

D. y ≤ -3

7 0

2 years ago

12x + 2y = 112<br> What does x equal???<br> What does y equal???

Schach [20]

12x+2y=112
6x+y=56
6x=56-y

x=(56-y)/6
y=(56-6x)

4 0

2 years ago

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