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Nostrana [21]
3 years ago
10

The value of y varies directly with x, and y = −12 when x = 6. Find y when x = −4. A. −8 B. 8 C. 24 D. −24

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

B. 8

Step-by-step explanation:

The proportion shown is k=-2. You multiply k by the x variable and that gives you 8. (-4 x -2=8)

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RO divides the rectangle into two congruent right triangles.

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Calculate the area of rectangle:

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The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the
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Answer:

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Step-by-step explanation:

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