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Alenkasestr [34]
3 years ago
7

A line is parallel to x + 2y = -2 and intersects the point (6, 9). What is the equation of this parallel line?​

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

The equation of the parallel line is: y = -1/2x + 12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

x + 2y = -2

writing into the slope-intercept form

2y = - x - 2

dividing both sides by 2

y=-\frac{1}{2}x-1

comparing with the slope-intercept form y = mx+b

Thus, the slope m of the equation is: m = -1/2

We know that the parallel lines have the same slope.

Thus, the slope of a new line parallel to x + 2y = -2 is also: -1/2

Given that the line intersects the point (6, 9).

so substituting m = -1/2 and (6, 9) in the slope-intercept form to determine the y-intercept

y = mx+b

9 = -1/2(6) + b

9 = -3 + b

b = 9+3

b = 12

Thus, the y-intercept b = 12

now substituting b = 12 and m = -1/2 in the slope-intercept

y = mx+b

y = -1/2x + 12

Therefore, the equation of the parallel line is: y = -1/2x + 12

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OlgaM077 [116]
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x = 4/100 * 350

x = 4/10 * 35

x = 0.4 * 35

x = 14


14 is 4 percent of 350.
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\sf\ .04=\frac{4}{100}\\\\x=\frac{4}{100}\times350\\\\x=\frac{4\times350}{100}\\\\x=\frac{1400}{100}={\boxed{14}
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Answer      

Find out the  what is the sale price of the jeans including tax .

To prove

Let us assume that the sale price of the jeans including tax be x .

As given

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= \frac{20}{100}

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4 0
3 years ago
7/10 + 2/10 , 13/16+ 2/16 , 4/5 + 1/5 , 7/15 + 2/15 , 9/20 + 3/20 , 5/8 + 1/8 . All in simplist form.
blondinia [14]

Hello!

<h3><em><u>Answers</u></em></h3>

1. \frac{7}{10} + \frac{2}{10} = \frac{9}{10}  Simplest form: \frac{9}{10}

2. \frac{13}{16} + \frac{2}{16} = \frac{15}{16}  Simplest form: \frac{15}{16}

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5. \frac{9}{20} + \frac{3}{20} = \frac{12}{20}  Simplest form: \frac{3}{5}

6. \frac{5}{8} + \frac{1}{8} = \frac{6}{8}  Simplest form: \frac{3}{4}

<h3><em><u>Explanation:</u></em></h3>

Simply add the numerators of the like fractions together. The denominators remain the same.

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