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ziro4ka [17]
2 years ago
15

Write the equation of the line through the points (4,5) and (12,9)

Mathematics
2 answers:
Vinil7 [7]2 years ago
3 0

Answer:

y - 9 = 1/2 (x - 12)

Step-by-step explanation:

find slope:

9-5 = 4, 12 - 4 = 8, slope = 1/2

put in point-slope form:

y - 9 = 1/2 (x - 12)

torisob [31]2 years ago
3 0
Y = 1/2x + 3 is the answer

to even check plug in the points

5 = 1/2(4) +3
5=2+3
5=5

9=1/2(12) + 3
9=6 + 3
9=9
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Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package
andrey2020 [161]

Answer:The cost of one month of game-play =$20


Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie =3x.....(1)

and Then cost of game-play bought by Kenny=4x......(2)

Cost of each software package =$50......(3)

The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x

⇒240=100+7x.......→(by adding like terms)

⇒140=7x⇒x=20.....→( dividing both sides by 7 )

∴the cost of one month of game-play =$20



8 0
3 years ago
Read 2 more answers
Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

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

y=mx+b

m - slope

b - y-intercept

========================================

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

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

4x+7y+3=0             <em>subtract 7y from both sides</em>

4x+3=-7y         <em>divide both sides by (-7)</em>

-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}

Therefore

m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}

We have the equation:

y=\dfrac{7}{4}x+b

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

1=\dfrac{7}{4}(-2)+b

1=-\dfrac{7}{2}+b     <em>multiply both sides by 2</em>

2=-7+2b           <em>add 7 to both sides</em>

9=2b            <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

y=\dfrac{7}{4}x+\dfrac{9}{2} - <em>slope-intercept form</em>

Convert to the general form:

y=\dfrac{7}{4}x+\dfrac{9}{2}         <em>multiply both sides by 4</em>

4y=7x+18      <em>subtract 4y from both sides</em>

0=7x-4y+18

6 0
3 years ago
How to solve this equation 2(f+3)+4f=6+6f?
Tresset [83]
2f+6+4f=6+6f
6f+6-6=6-6+6f
6f=6f
This means f can equal any number which we call mathematically infinite solution or infinitely many solutions
5 0
3 years ago
Read 2 more answers
Please help please please
Murrr4er [49]
2 pages per hour.

the fractions can be turned to decimals easily, 4/5 is 0.8 and 2/5 is 0.4 . divide those decimals together and you get 2.
4 0
2 years ago
Which of the following is equal to the rational expression when x 2 or -4? 5(x-2)/(x-2)(x+4)
Elena L [17]
Wait when x= 2 or -4? is the second part options or 5(x-2)/(x-2)(x+4)
6 0
3 years ago
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