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Harrizon [31]
3 years ago
8

The graph of a proportional relationship will always be a straight line that passes through the origin. Why?

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

Being proportional between two entities, refers to the 'Constant of Proportionality' that would be fixed between them which establishes a relationship between them when multiplied or divided.

If we considered it on a graph, the 'Constant Of Proportionality' may take any real values between the coordinate pairs x and y [x,y]. As even 0 is a real number, it will surely be a constant of proportionality when multiplied since its product would result in itself (0). Hence, both x and y turns 0.

As the coordinates of the origin are always (0,0), the graph  (Or the slope) would surely pass through the origin.

Example :

If we consider a graph such that x=y.

And if we multiply or divide any real number (a) between them.

ax=ay

As a is a variable, and can take the value of 0, the graph can pass through the origin as x and y nullify becoming the coordinates of the origin.

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the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. wh
uranmaximum [27]
<h3><u>Answer</u><u>:</u></h3>

  • \sf { width =10 \sqrt{15} \:inches}

<h3><u>Solution</u><u>:</u></h3>

<em>We are given that:</em>

  • Area of rectangle is 30√3570
  • Length of the rectangle is 3√250

<u>Area </u><u>of </u><u>rectangle </u><u>is </u><u>given </u><u>by:</u>

\implies\quad{\pmb{ \sf{Area = length\times width}} }

<u>Hence, putting the values in the formula:</u>

\implies\quad \sf{ A = l\times w}

\implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}

\implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }

\implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}

\implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}

\implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}

\implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}

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3 years ago
The regular price for a snowboard is $299.95. It is on sale for 30% off, but 5% sales tax will be applied to the sale price. Cai
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So, ($299.95)(. 30) = $89.99
$299.95 - $89.99= $209.96
($209.96)(.05)=$10.50
$209.96 + $10.50 = $220.46
No, she can't afford it
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4 years ago
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