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Lerok [7]
3 years ago
8

The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

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Answer:

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Step-by-step explanation:

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4 years ago
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Six yards of rope costs $5.50 while four yards costs $4.75
Amiraneli [1.4K]

The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

<u>Step-by-step explanation:</u>

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

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Choice 2:

Four yards costs $ 4.75

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3 years ago
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Answer:

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Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the $2$ main diagonals
Mariulka [41]

The property  of equality of the rows, columns, and diagonals in the magic

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The value of <em>n</em> is 6

Reasons:

The magic square can be presented as follows;

\begin{array}{|c|c|c|}n-2&3&n + 2\\n + 3&n - 1&1\\2&2 \cdot n - 5&n\end{array}\right]

Given that the sum of the numbers in each row and in each column and in

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The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n

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3·n - 2·n = 3 + 3

n = 6

Learn more here:

brainly.com/question/17355019

brainly.com/question/20477897

brainly.com/question/8183549

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20 is what percent of 52? Round your answer to the nearest 10th
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2/5
Your welcome.......
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