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Elina [12.6K]
3 years ago
11

Give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132​

Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

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(A) Finding the least common denominator.

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Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3
Flauer [41]

\text{We know that the tangent at any point on a circle is perpendicular}\\
\text{to the radius at that point.}\\
\\
\text{so first we find the equation of the line joining (0,0) and (3,4)}\\
\text{and then using the slope, we find the line perperndicular to it at (3,4)}\\
\\
\text{the equation of the line passing through (0,0) and (3,4) is}\\
\\
y-0=\frac{4-0}{3-0}(x-0)

\Rightarrow y=\frac{4}{3}x\\
\\
\text{so the slope of radius is }m=\frac{4}{3}.\\
\\
\text{we know that the product of the perpendicular lines is }-1. \\
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\text{so the slope of the perpendicular line would be}=-\frac{1}{4/3}=-\frac{3}{4}\\
\\
\text{So the equation of the tangent line has slope }-\frac{3}{4} \text{ and}\\
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y-4=-\frac{3}{4}(x-3)\\
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\Rightarrow y=-\frac{3}{4}x+\frac{9+16}{4}\\
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4 years ago
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