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ivanzaharov [21]
3 years ago
13

The equation of line l is -3y+4x=9. Write the equation of a line that is parallel to line l and passes through the point (-12,6)

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line I is

-3y + 4x = 9

3y = 4x - 9

y = 4x/3 - 3

Comparing with the slope intercept form, slope = 4/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (- 12, 6) is - 3/4

To determine the y intercept, we would substitute m = - 3/4, x = - 12 and y = 6 into y = mx + c. It becomes

6 = - 3/4 × - 12 + c

6 = 9 + c

c = 6 - 9

c = - 3

The equation becomes

y = -3x/4 - 3

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What is a matrix for a system of equations that does not have a unique solution?
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4 0
3 years ago
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olga_2 [115]

Arranging the given distances from sea level on the number line, we have;

  • The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.

<h3>How can the number line be used to find the distance from the sea level?</h3>

The given elevation of the lowest points in the six countries are;

Country. Lowest point elevation (m)

China. →. -154

Egypt →. -133

Azerbaijan → -28

Serbia. →. 35

Israel. → -408

Laos. →. 70

Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;

Israel → -408

China → -154

Egypt → -133

Azerbaijan → -28

Serbia. → 35

Laos. →. 70

On a number line, we have;

Israel < China < Egypt < Azerbaijan < Serbia < Laos

Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.

However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).

The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.

Learn more about the number line here:

brainly.com/question/4727909

#SPJ1

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2 years ago
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Maksim231197 [3]
It should be 16.8,
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3 years ago
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