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3 years ago

What is negative 1 equals 5+x/6?

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Hello there,

The equation that is give to us is as follows:

-1 = 5 + $\frac{x}{6}$

In order to solve for x we would first subtract 5 from both sides and then multiply by 6:

-1 -5 = -6 ÷ 6 = -1

This means that x would equal to -1 given the equation above.

Hope I helped,

Amna

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The slope and length of the given sides of the quadrilateral can be

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Correct responses:

$Slope \ of \ \overline{IJ} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{IJ}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{JK} = \underline {-\dfrac{2}{9}}$ , Length of $\overline{JK}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{KL} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{KL}$ = $\underline{\sqrt{85}}$

$Slope \ of \ \overline{LI} = \underline{ -\dfrac{2}{9} }$ , Length of $\overline{LI}$ = $\underline{\sqrt{85} }$

<h3>Methods used to find the slope and length of a line</h3>

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

$Slope = \mathbf{\dfrac{y_2 - y_1}{x_2 - x_1}}$

$Length \ of \ line = \mathbf{ \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

Therefore;

$Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}$

$Slope \ of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2} = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2} = \underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}$

Learn more about finding the slope and length of a line here:

brainly.com/question/11612395

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The opportunity cost of producing 3 military outfits is -30.

The opportunity cost of producing 4 military outfits is -35.

The opportunity cost of producing 5 military outfits is -50.

As military outfits increase, the opportunity cost decreases.

<h3>What is opportunity cost?</h3>

Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives. It is the number of consumer products that would not be produced when a producer decides to produce military outfits instead.

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Opportunity cost = change in consumer products / change in military

The opportunity cost of producing 3 military outfits = (85 - 115) / (3 - 2) = -30

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The opportunity cost of producing 5 military outfits = (0 - 50) / (5 - 4) = -50

To learn more about opportunity cost, please check: brainly.com/question/26315727

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