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saul85 [17]
3 years ago
6

Find the slope m of a line perpendicular to a line with known slope −6.

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

Answer:

<h2>1/6</h2>

Step-by-step explanation:

The slope of perpendicular line to the a given line with a known slope is the opposite inverse of that slope. An opposite inverse is the number written as fraction flipped around and its sign changed. (negatives become positives and positives become negatives)

-6 can be written as -6/1

The opposite inverse is 1/6

<em>PLEASE MARK BRAINLIEST</em>

Ipatiy [6.2K]3 years ago
7 0

Answer:

  1/6

Step-by-step explanation:

Perpendicular lines have slopes whose product is -1. That is ...

  -6m = -1

  m = 1/6 . . . . . divide by -6

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The area of a window is 336 square inches if the window is 16 inches wide how long is the window
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7 0
3 years ago
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Nine eighteenths plus one third
lisov135 [29]

Answer:

5/6

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find GCD (Greatest common denominator)

6

Step 4: Rewrite fractions

3/6 + 2/6

Step 5: Add

5/6

6 0
2 years ago
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How can you write the expression with rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6
harina [27]
Answer:  2√2 - 3

Explanation:


The expession written properly is:

\frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}+ \sqrt{6} }

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.

That is, you have to multiply both numerator and denominator times the conjugate of the denominator.

The conjugate of √3+√6 is √3 - √6, so let's do it:

\frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} + \sqrt{6} } . \frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}- \sqrt{6} }

To help you with the solution of that expression, I will show each part.

1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =

= 3 - 2√18 + 6 = 9 - 6√2.

2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3

3) Then the resulting expression is:

 9 - 6√2
-----------
 -3

Which can be further simplified, dividing by - 3

    -3 + 2√2

Answer: 2√2 - 3

7 0
3 years ago
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