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2 years ago

The distance between two stars is 9.0 x 10 to the power of -3 light years. A light year is equal to

Mathematics

1 answer:

sergey [27]2 years ago

6 0

Answer:

The distance between the two stars in miles is 5.292 * 10^10 miles

Step-by-step explanation:

Here, we want to make a conversion from light year to miles

To make this conversion, we simply are going to multiply the light year by the miles

Mathematically, we have this as;

9 * 10^-3 * 5.88 * 10^12

= 52.92 * 10^9

= 5.292 * 10^10 miles

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Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.

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2 years ago

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Nimfa-mama [501]

Answer:

y = 4x + 3

Step-by-step explanation:

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2 years ago

PLEASE HELP! Given the function f(x) = 3x2 − 4, what is f(-2)?

EleoNora [17]

Answer: Variant C

Step-by-step explanation:

f(x) = 3x^2 − 4

For finding f(-2) just replace x with - 2 like this:

f(-2)=3*((-2))^2-4=3*4-4=12-4=8

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3 years ago

What is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2

Ipatiy [6.2K]

1 1/2 I think is the answer

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2 years ago

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If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?

Art [367]

We know that
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so
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the answer is
<span>(0, –2) </span>

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3 years ago

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