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pantera1 [17]
3 years ago
5

Which value of a solves the equation a^-2 = 1/100

Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

a = 10 or a = -10

Step-by-step explanation:

a^-2 = 1/100

We know 100 = 10^2

a^-2 = 1/10^2

We know 1/b^c = b^-c

1/a^2 = 1/ 10^2

Multiply by a^2 on each side

a^2 *1/a^2 = 1/ 10^2 *a^2

1 = a^2/10^2

Multiply by 10^2 on each side

1 0^2= a^2/10^2 * 10^2

10^2 = a^2

Take the square root of each side

sqrt(10^2) = sqrt(a^2)

±10 =a

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Answer:

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Step-by-step explanation:

Use the midpoint formula

[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]

with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)

midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )

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Step-by-step explanation:

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