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Tju [1.3M]
3 years ago
8

Write an equation of the line passing through point P(4, 0)

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

\large\boxed{y=\dfrac{1}{2}x-2\to -x+2y=-4}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let

k:y=m_1x+b_1,\ l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2

Parallel lines have the same slope.

Convert given equation of a line to the slope-intercept form:

-x+2y=12         <em>add x to both sides</em>

2y=x+12         <em>divide both sides by 2</em>

y=\dfrac{1}{2}x+6

The slope

m=\dfrac{1}{2}

We have

y=\dfrac{1}{2}x+b

Put the coordinates of the given point P(4, 0) to the equation:

0=\dfrac{1}{2}(4)+b

0=2+b              <em>subtract 2 from both sides</em>

-2=b\to b=-2

Finally we have:

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

Convert to the standard form (<em>Ax + By = C</em>):

y=\dfrac{1}{2}x-2          <em>multiply both sides by 2</em>

2y=x-4         <em>subtract x from both sides</em>

-x+2y=-4

DiKsa [7]3 years ago
7 0

Answer:

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

Step-by-step explanation:

y = \frac{x+12}{2}

if it goes through 4,0 and has a gradient of x/2 the y-int is at -2.

therefore, y=\frac{x}{2} - 2

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Answer:

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Step-by-step explanation:

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2 years ago
One number added to three times another number is 24. Five times the first number added to three times to other number is 36. Fi
Marrrta [24]

The numbers are 3 and 7

Step-by-step explanation:

Let the first number be x and the second number be y

Then according to given statement

One number added to three times another number is 24

x+3y=24     Eqn 1

Five times the first number added to three times to other number is 36

5x+3y=36      Eqn 2

Subtracting Equation 1 from equation 2

5x+3y-(x+3y)=36-24\\5x+3y-x-3y=12\\4x=12

Dividing both sides by 4

\frac{4x}{4}=\frac{12}{4}\\x=3

Putting x=3 in equation 1

3+3y=24\\3y=24-3\\3y=21

Dividing both sides by 3

\frac{3y}{3} = \frac{21}{3}\\y=7

Hence,

The numbers are 3 and 7

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/5059091
  • brainly.com/question/5069437

#LearnwithBrainly

5 0
3 years ago
Shawn Fitzgerald finds a suitable property and agrees upon a selling price of $137,900. The mortgage company requires a 20% down
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Amount financed
137,900−137,900×0.20
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number of thousands
110,320÷1,000
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Now multiply it by the number of months in a year
809.7488×12 months
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Multiply it by the number of years
9,716.9856×30
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291,509.568−110,320
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Hope it helps
4 0
3 years ago
Read 2 more answers
The table shows four numeric expressions. Which expression is an integer when it's evaluated?
baherus [9]

Answer:

Option C) G.

Step-by-step explanation:

Verify each expression

case E) we have

3.8+0

Any number plus zero equals the original number (Identity property of addition)

3.8+0=3.8 -----> is a decimal number

case F) we have

0+0.5

Any number plus zero equals the original number (Identity property of addition)

0+0.5=0.5 -----> is a decimal number

case G) we have

-8+0

Any number plus zero equals the original number (Identity property of addition)

-8+0=-8 -----> is an integer

case H) we have

9/0

division by zero is undefined

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3 years ago
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1,728 have a nice day
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