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bagirrra123 [75]
3 years ago
5

air pressure may be represented as a function of height (in meters) above the surface of the earth, as shown below.

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Don't. Trust. It. Tho

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).
mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

  • Same slopes
  • Different y-intercepts

The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{1},y_{1}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ x_{1} = -12 , x_{2} = 0

∴ y_{1} = -2 , y_{2} = -4

- Use the formula of the slope above to find the slope of the given line

∵ m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}

∴ The slope of the given line is \frac{-1}{6}

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = \frac{-1}{6}

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

  and b is the y-intercept (y when x = 0)

∵ m = \frac{-1}{6} and b = 6

∴ The equation of the parallel line is y = \frac{-1}{6} x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = \frac{-1}{6} (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0
3 years ago
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QUICK - 70 POINTS! GEOMETRY HOMEWORK
sukhopar [10]

a/c = d/a

you would cross multiply to get aa = cd

aa = a^2

so you would have a^2 = cd

6 0
3 years ago
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What is:<br> 13 to the 3rd power<br> 2/5 to the second power<br> And 0.9 to the second power
Anna007 [38]
1. 13*13*13 =2197
2. 2/5*2/5 = 4/25
3. 0.9*0.9 = 0.81
4 0
3 years ago
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The temperature dropped 5 °F every hour for 5 hours. What was the total number of degrees the temperature changed in the 5 hours
solong [7]

Answer:

25

Step-by-step explanation:

you just multiple 5 times 5

4 0
3 years ago
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Please help me!! ......
fenix001 [56]

Answer:

b)480 cm^2

Step-by-step explanation:

perimeter=(16+12+20) cm

=48 cm

lateral surface area= perimeter × height

=48×10 =480 cm^2

4 0
3 years ago
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