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3 years ago

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

$m=\frac{2}{3}$

By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

$m=-\frac{3}{2}$

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Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

$area = l \times w \\ = 21 \times 15 \\ = 315 {ft}^{2} \\ \\$

So now We need to convert it to yards square

$315ft^{2} \times \frac{ {1yd}^{2} }{ {9ft}^{2} } \\ \\ = \cancel{315ft^{2}} \: ^{35} \times \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }} \\ \\ = 35 {yd}^{2}$

So how this 9 ft^2 came??

Let's know

$ft \to \: yards \\ \\ 3ft = 1yd \\ \\ {3ft}^{2} = {1yd}^{2} \\ \\ \boxed{ {9ft}^{2} = {1yd}^{2}}$

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>

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2 years ago

Read 2 more answers

Simplify:(36^(-1/4)x9^(3/4))^-2

telo118 [61]

The answer is 121 because if you add,multiply, and divide, you will be ableto find the answer

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3 years ago

If f(x) = x^2 + 8x – 2 and f(0), then the result is:<br><br> -2.<br> 0.<br> 8.

Anastasy [175]

Answer:

-2.

Step-by-step explanation:

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2 years ago

There are two numbers such that , if both of them are individually increased by 5 and then by the same percentage as they were i

QveST [7]

Let the two numbers be x and y.
Let m = the fraction (or percentage) for increasing the numbers.

Increase x by 5, multiply (x+5) by (1+m), and set it qual to 36.
(x + 5)*(1 + m) = 36

Increase y by 5, multiply (y+5) by (1+m), and set it equal to 36.
(y+5)*(1+m) = 36

Therefore
(x+5)*(1+m) = (y+5)*(1+m)
x + 5 = y + 5
x = y
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Answer: 0.
The difference between the two numbers is zero.

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3 years ago

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Svetlanka [38]

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3 years ago