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Feliz [49]
2 years ago
10

write an equation in slope intercept form of the line perpendicular to the graph of 5x-2y=7 that passes through (3,-2)

Mathematics
1 answer:
alexira [117]2 years ago
4 0

<u>Given </u><u>:</u><u>-</u>

  • A equation which is 5x - 2y = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The equation of the line perpendicular to the given line and passes through (3,-2) .

<u>Solution</u><u> </u><u>:</u><u>-</u>

Given equation to us is ,

\longrightarrow 5x -2y = 7

Convert it into slope intercept form which is y = mx + c ,

\longrightarrow 2y = 5x - 7

Divide both sides by 2 ,

\longrightarrow y =\dfrac{5}{2}x -\dfrac{7}{2}

Now on comparing to slope intercept form , we have ,

\longrightarrow m =\dfrac{5}{2}

And as we know that the product of slopes of two perpendicular lines is -1 . Therefore the slope of the perpendicular line will be negative reciprocal of slope of the given line . As ,

\longrightarrow m_{\perp}= \dfrac{-2}{5}

Again the given point to us is (3,-2) . We may use the point slope form to find out the equation of perpendicular line which is ,

\longrightarrow y - y_1 = m(x-x_1)

Substitute ,

\longrightarrow y - (-2) =  \dfrac{-2}{5}(x -3)

Open the brackets and simplify,

\longrightarrow y +2 = \dfrac{-2}{5}x +\dfrac{6}{5}

Subtracting 2 both sides ,

\longrightarrow y=\dfrac{-2}{5}x +\dfrac{6}{5}-2

\longrightarrow y =\dfrac{-2}{5}x +\dfrac{6-10}{5}

Simplify,

\longrightarrow \underline{\underline{ y = \dfrac{-2}{5}x -\dfrac{4}{5}}}

This is the required answer !

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Answer:

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<em />

<em>a) The volume of a cylinder is the area of the base * height</em>

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<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>

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<em>The area of the base is π (d/2)^2 = π (2 in)^2  =  4π in^2.</em>

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<em>[2000 / 3]π / [32π] = 20.83</em>

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<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>

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<em>From ~Itsbrazts~.</em>

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3 years ago
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=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x

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3 years ago
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vampirchik [111]
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Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0.  The probability under the curve to the left of, less than, the second z-score is 0.9738.  Subtracting these we find the area between them:
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8 0
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