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3 years ago

Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3.

1 answer:

3 0

(x1,y1) = (7,-2)
m = -3

General equation of line
y - y1 = m (x -x1)
y - (-2) = m (x - 7)
y + 2 = -3(x - 7)

The answer is c

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The circle below has center k , and its radius is 3 cm Given that m∠LKM =70° , find the length of the major arcLNM

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The length of the major arc LNM is $\frac{29}{6}\pi \ cm$

<h3><u>Length of an arc</u></h3>

From the question,

We are to determine the value of the length of the major arc LNM

The length of the major arc LNM can be calculated using the formula

$Length \ of \ major\ arc \ LNM = \frac{Reflex \$

Where r is the radius

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Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)

From the given information,

∠LKM = 70°

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Now, putting the parameters into the formula, we get

$Length \ of \ major\ arc \ LNM = \frac{290 ^\circ }{360 ^\circ} \times 2\pi \times 3$

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Hence, the length of the major arc LNM is $\frac{29}{6}\pi \ cm$

Learn more on calculating length of an arc here: brainly.com/question/2005046

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