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andrey2020 [161]
1 year ago
15

Which table of ordered pairs represents a proportional relationship?

Mathematics
1 answer:
grin007 [14]1 year ago
7 0

Answer:

It is the second one

Step-by-step explanation:

A proportional relationship happens when you get the same answer every time that you divide the y by the x.

(2,10) (4,20) (6,30)

10/2 = 5

20/4 = 5

30/6 = 5

That is not true for the other tables.

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4b - 5 + (-a-3) i = 7 * 8i
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Answer:

Simplifying

4b + -5 + (-1a + -3) * i = 7 + -8i

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4b + -5 + (-3 + -1a) * i = 7 + -8i

Reorder the terms for easier multiplication:

4b + -5 + i(-3 + -1a) = 7 + -8i

4b + -5 + (-3 * i + -1a * i) = 7 + -8i

Reorder the terms:

4b + -5 + (-1ai + -3i) = 7 + -8i

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Reorder the terms:

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Solving

-5 + -1ai + 4b + -3i = 7 + -8i

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

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Reorder the terms:

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Add '-4b' to each side of the equation.

-1ai + 4b + -4b + -3i = 12 + -4b + -8i

Combine like terms: 4b + -4b = 0

-1ai + 0 + -3i = 12 + -4b + -8i

-1ai + -3i = 12 + -4b + -8i

Add '3i' to each side of the equation.

-1ai + -3i + 3i = 12 + -4b + -8i + 3i

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Simplifying

a = -12i-1 + 4bi-1 + 5

Reorder the terms:

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