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kykrilka [37]
3 years ago
7

How do I solve this?

Mathematics
1 answer:
harina [27]3 years ago
6 0
Radical probably it could work with a protractor
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Q.The length of the minute hand of a clock is 11cm. What is the distance covered by the minute hand in 1 hour ? *
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Answer:

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Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)
olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}

Here

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(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}

The bisector will pass through the mid-point of QR

M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)

Slope-intercept form of equation is:

y = m_2x+b

Putting the value of slope

y = -\frac{2}{3}x+b

Putting (2,6) in the equation

6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}

So,

y = -\frac{2}{3}x+\frac{22}{3}

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}

Keywords: Mid-point, equation of line

Learn more about equation of line at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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3 years ago
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Andre45 [30]
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answer<span> D) 96</span>
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What do you call a polynomial with two terms?
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a polynomial with two terms is called Binomial

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