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MakcuM [25]
3 years ago
6

The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum d

istances to the moon?
Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

Step-by-step explanation:

The maximum distance is found adding the variation.

The minimum distance is found subtracting the variation.

We have that:

Distance: 382,500 km

Variation: 22,500 km

So

Maximum distance: 382500 + 22500 = 405,000 km

Minimum distance: 382500 - 22500 = 360,000 km

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

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Which equation has solutions of 6 and -6? x2 – 12x + 36 = 0 x2 + 12x – 36 = 0 x2 + 36 = 0 x2 – 36 = 0
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<u>Answer:</u>

The equation that has solutions 6 and -6 is x^2 - 36 = 0

<u>Solution:</u>

We have to find which equation has the solutions 6 and -6.

We have been given three equations.

x^{2}-12 x+36=0  --- eqn 1

x^{2}+12 x-36=0 -- eqn 2

x^{2}-36=0  ---- eqn 3

The 6 and -6 to satisfy any of these equations they have to be the roots of the equation.

This means that when we substitute 6 and -6 in any of the equations and then solve them the answer on simplification should be 0.

This condition should individually be satisfied by both 6 and -6 for any one of the equations.

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RHS:  0  

Since LHS=RHS it is the root of the equation.

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RHS:  0

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Now in the same way we check for eq3

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