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blsea [12.9K]
3 years ago
9

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

perpendicular

Step-by-step explanation:

The slope of y = 3x - 7 is 3.

3x + 9y = 9 → 9y = -3x + 9 → y = -1/3 x + 1 so its slope is -1/3.

This means that they are perpendicular because the product of their slopes is -1.

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Answer:

(0,-5). y=mx+b or -5=0 × 0+b, or solving for b: b=-5-(0)(0). b=-5.

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This can be easily solved, especially with a calculator.
With the calculator, you can find that \sqrt{42} is about 6.4807.
Multiply that by 2, you get about 13 inches.

If you can't use a calculator, then you can just estimate. Since we know that \sqrt{36} is 6 and \sqrt{49} is 7, \sqrt{42} is in between them, so you can just say somewhere around 6.5.

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