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BaLLatris [955]
2 years ago
15

The sum of 3 and 7 times a number is 45

Mathematics
1 answer:
san4es73 [151]2 years ago
6 0

Answer:

4.5

Step-by-step explanation:

The sum of 3 and 7 is 10

then what number to you multiply 10 by to get 45

45 ÷ 10 = 4.5

so the answer is 4.5

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Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
bearhunter [10]

Answer:

<em>The distance from the point to the line is approximately 3.2 units</em>

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}

The line is given by the equation:

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Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

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\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}

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The distance from the point to the line is approximately 3.2 units

4 0
2 years ago
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