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lapo4ka [179]
3 years ago
14

the moon is about 240,00 miles from earth. what is this distance written as a whole number multiplied by a power of ten

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0
<span>I assume you meant that the Moon is about 240,000 miles from Earth, not 240,00 as you have written :) Well, the answer is: the Moon is about 24 * 10^4 miles from Earth.

Just write 24 and multiply it by 10 to the power equal to the number of zeros (if there are four zeros after 24, then multiply it to the 4th power of 10).</span>
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The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

  • x  →  2    :    5.6    :    7    :    8
  • y  →  5    :    14      :  17.5  :    20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ \frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5

∵ \frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5

∵ \frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

  in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

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

#LearnwithBrainly

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