The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. which statement must be true about the complex numbers? a.) the complex numbers have equally imaginary coefficients b.) the complex numbers have equal real numbers. c.) the complex numbers have opposite imaginary coefficients d.) the complex numbers have opposite real numbers.

Option d is correct.

Step-by-step explanation:

In general, a complex number is written as, where a is real part and b is imaginary part.

Now, two complex numbers are added and their sum is which can also be written as . Here, the real part is zero.

It is also given that the real part of the complex number is not zero in both the cases.

Let us consider two complex numbers and .

Add the two complex numbers:

Now, the real part should be zero only when .

Therefore, the complex numbers must have opposite real part or numbers. Option d is correct.

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if im undersanding the question correctly, its organized from 10

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1