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Alex17521 [72]
3 years ago
15

Find an equation of the line through the given point and perpendicular to the given line

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is

y = 2x - 2

Comparing with the slope intercept form,

Slope, m = 2

This means that the slope of the line that is perpendicular to it is -1/2

The given points are (-3, 5)

To determine c,

We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c

It becomes

5 = -1/2 × - 3 + c

5 = - 3/2 + c

c = 5 + 3/2

c = 13/2

The equation becomes

y = -x/2 + 13/2

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Kryger [21]

From unit conversion, it is found the following results:

6km ≈ 3.73 mi

2.5 L≈ 0.66 gal

90 lb ≈ 40.82 kg

<h3>Unit Conversion</h3>

Units of measurement are part of our daily lives. There are different units for area, length, volume, mass, and others.  Because of this, it is important to know converting them.

For solving this question you need some information as:

1 km = 0.621371 mi ( unit for length and distance)

1 L = 0.2641722 gallons (unit for volume)

1 lb = 0.453592 kg (unit for mass)

Therefore,

  • If 1 km = 0.621371 mi, you will have:

           1 km --------  0.621371 mi

           6 km --------  x mi

           x= 6* 0.621371

           x=3.73 mi

Thus, 6km ≈ 3.73 mi.

  • If 1 L = 0.2641722 gallons, you will have:
  •            1 L--------  0.2647122 gal
  •           2.5L --------  x gal
  •            x= 2.5* 0.2647122
  •            x=0.66 gal
  • Thus,
  • 2.5 L≈ 0.66 gal.
  • If 1 lb = 0.453592 kg, you will have:
  •            1 lb--------  0.453592 kg
  •           90 lb --------  x kg
  •            x= 90* 0.453592
  •            x=40.82 kg
  • Thus,
  • 90 lb≈ 40.82 kg
  • .

Read more about unit conversion here:

brainly.com/question/13016491

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Answer:

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