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erma4kov [3.2K]
3 years ago
10

Help :))))))))))))))) thx

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

40 cm

Step-by-step explanation:

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Round 5,438 to the nearest hundred
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Step-by-step explanation:

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Can anyone help me, i dont understand this. will give you all my points, and brainliest.
Feliz [49]

Step-by-step explanation:

Transformations of graphs are fairly simple. Start with a parent function, or g(x) = f(x).

To move the graph UP or DOWN, add that number on the outside of the parenthesis with x: g(x) = f(x) + n is up, g(x) = f(x) - n is down.

To move the graph RIGHT you must SUBTRACT from inside the parenthesis. g(x) = f(x - n)

To move the graph to the LEFT you must ADD from inside the parenthesis . g(x) = f(x + n)

5 0
3 years ago
Find the equation of ellipse passing throgh (1,4) and (-3,2)​
irinina [24]

Answer:

\displaystyle  \frac{  {3x}^{2} }{ 35 }  +  \frac{{2y}^{2} }{  35  }   = 1

Step-by-step explanation:

we want to figure out the ellipse equation which passes through <u>(</u><u>1</u><u>,</u><u>4</u><u>)</u><u> </u>and <u>(</u><u>-</u><u>3</u><u>,</u><u>2</u><u>)</u>

the standard form of ellipse equation is given by:

\displaystyle  \frac{(x - h {)}^{2} }{ {a}^{2} }  +  \frac{(y - k {)}^{2} }{ {b}^{2} }  = 1

where:

  • (h,k) is the centre
  • a is the horizontal redius
  • b is the vertical radius

since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

\displaystyle  \frac{  {x}^{2} }{ {a}^{2} }  +  \frac{{y}^{2} }{ {b}^{2} }  = 1

substituting the value of x and y from the point (1,4),we'd acquire:

\displaystyle  \frac{ 1}{ {a}^{2} }  +  \frac{16}{ {b}^{2} }  = 1

similarly using the point (-3,2), we'd obtain:

\displaystyle  \frac{ 9}{ {a}^{2} }  +  \frac{4 }{ {b}^{2} }  = 1

let 1/a² and 1/b² be q and p respectively and transform the equation:

\displaystyle  \begin{cases} q  +  16p  = 1  \\ 9q + 4p = 1 \end{cases}

solving the system of linear equation will yield:

\displaystyle  \begin{cases} q   =  \dfrac{3}{35} \\ \\  p =  \dfrac{2}{35}  \end{cases}

substitute back:

\displaystyle  \begin{cases}  \dfrac{1}{ {a}^{2} }   =  \dfrac{3}{35} \\ \\   \dfrac{1}{ {b}^{2} }  =  \dfrac{2}{35}  \end{cases}

divide both equation by 1 which yields:

\displaystyle  \begin{cases}  {a}^{2}   =  \dfrac{35}{ 3} \\ \\    {b}^{2}   =  \dfrac{35}{2}  \end{cases}

substitute the value of a² and b² in the ellipse equation , thus:

\displaystyle  \frac{  {x}^{2} }{  \dfrac{35}{3}  }  +  \frac{{y}^{2} }{  \dfrac{35}{2}  }   = 1

simplify complex fraction:

\displaystyle  \frac{  {3x}^{2} }{ 35 }  +  \frac{{2y}^{2} }{  35  }   = 1

and we're done!

(refer the attachment as well)

8 0
3 years ago
Hey guys AGAIN! <br> PLS HELP ME WITH THIS <br> IK ITS PROBBLY EASY BUT YEAH
RoseWind [281]

Answer:

a. 10 buns or 10/12

b. 8 buns or 8/12

Step-by-step explanation:

You need to make the denominator into 12 since thats how much is in a dozen

5/6 of a dozen is also 10/12 (multiplied numerator and denominator by 2)

2/3 of a dozen is also 8/12 (multiplied numerator and denominator by 4)

7 0
3 years ago
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