PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work!

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-01-07T05:28:12+01:00

Answer:

Yes, he is correct

Step-by-step explanation:

Represent Michael's home with M and his mother's with H

So, we have:

[tex]M = 12\ ft (below)[/tex]

[tex]H = 12\ ft (above)[/tex]

Required

Is Michael correct?

First, we get the numeric values of the given parameters.

Below sea level means negative:

So:

[tex]M = 12\ ft (below)[/tex] will be rewritten as:

[tex]M = -12[/tex]

Above sea level means positive:

So:

[tex]H = 12\ ft (above)[/tex] will be rewritten as:

[tex]H = 12[/tex]

Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]

For Michael to be correct:

[tex]M + H = 0[/tex]

Substitute values for M and H

[tex]-12 + 12 = 0[/tex]

[tex]0 = 0[/tex]

Hence, Michael is correct