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3 years ago

The length of RT is 4x-4.Given that point S is between point R and T,

Mathematics

1 answer:

Monica [59]3 years ago

7 0

Answer:

RS = 32

Step-by-step explanation:

Set-up equation like this -- 2x+6+16=4x-4

Solve for x

Then plug x in for the length of RS. You should get 32 for RS.

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Jessie says to round 763 400 to the nearest ten thousand he will round to 770 000 is he right ?

skad [1K]

No because it's closer to 760,000

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3 years ago

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Write an equation of cosine function with amplitude 2 and a period 4pi

Arisa [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}
\end{array}$

$\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{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now.. hmmm let's see, keeping in mind the template above

so, amplitude of 2, A=2, thus |A| = ±2, so, you can use either

and period of 4π, well, that simply means that

$\bf \cfrac{2\pi }{B}=4\pi \implies \cfrac{2\pi }{4\pi }=B\implies \cfrac{1}{2}=B\\\\
-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
\end{array}$

8 0

4 years ago

Which system of equations has the same solutions as the system below? `3x-y=7` `2x+3y=12`

LiRa [457]

Answer:

the system : 9x-3y =21

2x+3y = 12

Step-by-step explanation:

hello :

an system of equations has the same solutions as the system below

the system 3x-y=7

2x+3y=12

for exempl : 3×(3x-y)=3×7

2x+3y)=12

means :

9x-3y =21

2x+3y = 12

6 0

3 years ago

"The sum of a number and 4."

kenny6666 [7]

Answer:

n + 4

Step-by-step explanation:

It´s like a normal sum, but since the number is unknown just put n.

7 0

4 years ago

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if a truck uses 12 liters of petrol to travel 86 kilometers. how far will it travel on 42 liters of petrol

cricket20 [7]

Answer

The bus can travel 301 kilometers

Explanation

Set up a proportion

$\frac{12}{86} =\frac{42}{x}$

Solve

12x = 3612

x = 301

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4 years ago