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Effectus [21]
3 years ago
11

Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

The equation of the perpendicular line is 2x-4y -12=0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the equation of the line is 4x+2y-12=0

The equation of the perpendicular line b x -ay +k=0

The equation of the perpendicular line  2x -4y +k=0

This line passes through the point (8,1)

                           2(8)-4(1)+k=0

                      ⇒ 16 -4+k=0

                    ⇒   12 +k=0

                           k =-12

The equation of the perpendicular line is 2x-4y -12=0

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The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classr
worty [1.4K]

Answer:

<h2>16</h2>

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

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Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

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3 0
3 years ago
What are two solutions of 3 + 4 |x/2 + 3| = 11?
Alex
3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10

Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

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4 years ago
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The answer is 1.12% decrease
Explanation in image

4 0
3 years ago
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