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mr Goodwill [35]
2 years ago
14

(-2, 1/2), (1, -2/3) Find the equation of the line​

Mathematics
1 answer:
Luda [366]2 years ago
4 0

9514 1404 393

Answer:

  7x +18y = -5

Step-by-step explanation:

The slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18

The y-intercept is ...

  b = y -mx

  b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18

Then the slope-intercept form of the equation is ...

  y = -7/18x -5/18

Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...

  7x +18y = -5

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jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fa
Elanso [62]

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

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13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

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w=12.8mph

Therefore, 12.8mph is her walking speed.

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3 years ago
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Zina [86]

Answer:

30

Step-by-step explanation:

3 x 10 = 30

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