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Rama09 [41]
3 years ago
11

Find the value of x.

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

4.4

Step-by-step explanation:

x is hypotenuse of the right triangle.

One leg is 2.4 in.

Second leg = 7.4/2 = 3.7 in.

Using Pythagorean theorem

Hypotenuse²= (first leg)² + (second leg)²

x² = 2.4² + 3.7² = 19.45 in²

x=√19.45 ≈ 4.4 in

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Suppose f(x) = x³ . find the graph of f(x+5)
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\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
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f(x)=  A sin\left( B x+  C  \right)+  D
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--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
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\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
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~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
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~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
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