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aliina [53]
3 years ago
11

Find the difference and simplify.

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Step-by-step explanation:

\frac{x + 1}{x - 4}  -  \frac{x + 3}{x + 2}  \\  \frac{(x + 1)(x + 2)}{(x - 4)(x + 2)}  -  \frac{(x + 3)(x - 4)}{(x + 2)(x - 4)}  \\  \frac{ {x}^{2} + 3x + 2 }{(x + 2)(x - 4)}  -  \frac{ {x}^{2} - x - 12 }{(x + 2)(x - 4)}  \\  \frac{( {x}^{2}  + 3x + 2) - ( {x}^{2}  - x - 12)}{(x + 2)(x - 4)}  \\  \frac{ {x}^{2}  + 3x + 2 -  {x}^{2}  + x + 12}{(x + 2)(x - 4)}  \\  \frac{4x + 14}{(x + 2)(x - 4)}  \\  \frac{2(2x + 7)}{(x + 2)(x - 4)}

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If the side of the square measures 14 mm, what is the length of y?
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It would be 7 because a line (altitude) that forms a right angle with the triangle will split the side it’s touching in half. The area is 196 because 14x14 is196
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Find the lateral area of the following cone.<br> Leave your answer in terms of pi
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Verdich [7]

Hi!

We can use <u>point-slope form </u>to solve this.

y-y_{1} =m(x -x_{1})

y_{1}<em> and </em>x_{1}<em> will be from one of the points.</em>

<u>First, we have to find </u>m<u>, the slope. We can use the slope equation to get this.</u>

\frac{y_{1} -y_{2} }{x_{1} -x_{2} }

<em>Plug in your points:</em>

\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}

Your slope is \frac{1}{4}

<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

y-4=\frac{1}{4} (x-8)

Now, if you want to get it into y = mx + b form, you have to solve for y:

y-4=\frac{1}{4} (x-8)

y-4=\frac{1}{4} x-2

y=\frac{1}{4} +2

Your equation is y=\frac{1}{4} +2

<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>

brainly.com/question/986503

7 0
2 years ago
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