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slega [8]
3 years ago
5

The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a ____

______________ of _________________feet.
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

The correct answer is "decrease, 1,280 feet".

Step-by-step explanation:

The given values are:

Rate or speed,

= 320 feet per hour

1 pm to 5 pm means,

t = 5 - 1

 = 4 hours

Now,

The net change in distance will be:

⇒  \Delta D=-320\times 4 \ feet

⇒         =-1280 \ feet

Thus the above is the correct approach.

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g(x) = 3 log(x/2) (Option-B).

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P = what times 4 equals 1/2 = 1/8
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Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
  • The y-intercept means the line intersect the y-axis at point (0 , b)

A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

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∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

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- To find b substitute x and y in the equation by the coordinates

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∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

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∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

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∵ y = m x + b

∴ The equation of the line is y = (0)x + b

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The equation of the line is y = -8

D.

∵ m = 2

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∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

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This is how i did it hope it helped!

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