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yanalaym [24]
3 years ago
14

Help stuck on question number 9

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0

Answer:

y=4x-4

Step-by-step explanation:

You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.

The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.

Now use the point-slope formula to find your b value.

(y-y1)=m(x-x1)

m= 4

Plug in (3,8) for x and y, and solve.

(y-8)= 4(x-3)

y-8= 4x -12

y=4x-4

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3х + 9 = 2х + 5<br><br> is it no solutions, all real numbers, or does x equal something?
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Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em></h2>

Step-by-step explanation:

<h3><u>Given</u><u> </u><u>Equation</u><u>:</u></h3>
  • 3x + 9 = 2x + 5

<h3><u>Question</u><u>:</u></h3>
  • Whether x has one solution or infinite solutions or no solutions?

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

=> 3x + 9 = 2x + 5

  • <em>(</em><em>On</em><em> </em><em>shifting</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>we</em><em> </em><em>get</em><em>)</em>

=> 3x - 2x = 5 - 9

  • <em>(</em><em>On</em><em> </em><em>subtracting</em><em>)</em>

=> x = - 4

<h3><u>Result</u><u>:</u></h3>

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>has</u></em><em><u> </u></em><em><u>only</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>solution</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>is</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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