Find the length of side BY for the given triangle.

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

option 3- 5 square root 2

Step-by-step explanation:

$\sin 45° = \frac{BY}{OY} \\ \\ \frac{1}{ \sqrt{2} } = \frac{BY}{10} \\ \\ BY = \frac{10}{ \sqrt{2} } \\ \\ BY = \frac{10 \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ \\ BY = \frac{10 \sqrt{2} }{2 } \\ \\ \huge \red{ \boxed{BY = 5 \sqrt{2} }}$

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f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t

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Answer:

The function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

Step-by-step explanation:

The given function is

$f(x)=-(0.2)^x$

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

$g(x)=kf(x+b)+c$

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

$g(x)=\frac{1}{6}(-f(x-9))$