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2 years ago

Find the cartesian equation for the parametric equation x = 2sin x, y = cos x

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

In this equation y would equal 4 or it could be 1

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7 is one tenth of what number

Sloan [31]

Answer:

Explanation:

Assume that the number we are looking for is x

one tenth is interpreted into $\frac{1}{10}$

Now, we know that one tenth of the number is 7, this means that:

$\frac{1}{10}$ * x = 7

Solve for x by multiplying both sides of the equation by 10, we get:

$\frac{1}{10}$ * x * 10 = 7 * 10

x = 70

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Rachel runs 6 miles in 45 minutes. At the same rate how many minutes would she take to run 4 miles?

exis [7]

Rachel would take 30 minutes to run in 4miles

7 0

3 years ago

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I need help with #11

Troyanec [42]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
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}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template in mind, let's take a peek at this function

$\bf \begin{array}{lllcclll}
y=&2(&1x&-2)^2&-4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
A\cdot B=2\impliedby \textit{shrunk by a factor of 2, of half-size}\\\\
\cfrac{C}{B}= \cfrac{-2}{1}\implies -2\impliedby \textit{horizontal right shift of 2 units}\\\\
D=-4\impliedby \textit{vertical down shift of 4 units}$

so, the graph of y=2(x-2)²-4, is really the same graph of y=x², BUT, narrower, and moved about horizontally and vertically

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME!!.. 16 points!!.... change to scientific notation

Svetradugi [14.3K]

Answer:

6. 4.5×10⁴

7. 4.2×10^-3

8. 9.5×10^9

9. 1.3×10^-3

10. 3×10²

Step-by-step explanation:

start counting just after the dot . hope it helps

7 0

3 years ago

Read 2 more answers

Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in th

dezoksy [38]

Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.

3 0

3 years ago