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kozerog [31]
3 years ago
9

I have a question how do you solve a proportion divide or multiply???​

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0
A matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying
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Determine the slope of the line that contains the given points.
nydimaria [60]

Answer:

slope = 2/3

Step-by-step explanation:

6 0
3 years ago
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Order from least to greatest 125%,6/5,1.22
geniusboy [140]

\frac{6}{5}, 1.22, 125%

3 0
4 years ago
An amusement park sold 27 child tickets. The other 23 tickets it sold were adult tickets. What is the ratio of the number of adu
amm1812

Answer:

23/50

Step-by-step explanation:

27 + 23 = 50 (Implying that 50 is the total amount of tickets).

23 of them were sold to adults, so basically 23/50.

Remember a ratio can be written in 3 forms, so it can be either of these:

23:50

23/50

23 to 50

5 0
2 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
the perimeter of an isosceles triangle is 45. find the length of the third side if each of the equal sides is 14cm long
77julia77 [94]

Answer:

17cm

Step-by-step explanation:

The two equal sides are 14cm long so 45 - 14 - 14 = 17

8 0
3 years ago
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