On a road map of Virginia, the distance from Alexandria to Roanoke is 7.6 cm. What is the actual distance between the cities if the map scale is 2 cm = 50 mi?

The given expression simplified can be written as -1 + 6i. which is the correct answer that would be an option (A).

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

To simplify the expression (3 + 8i) − (4 + 2i), we need to subtract the two complex numbers. To do this, we subtract the real parts and the imaginary parts separately.

The real part of the first complex number is 3, and the real part of the second complex number is 4.

Subtracting these gives us -1.

The imaginary part of the first complex number is 8, and the imaginary part of the second complex number is 2.

Subtracting these gives us 6. Therefore, the simplified expression is (-1) + (6i) = -1 + 6i.

Therefore, the correct answer is: -1 + 6i.

Learn more about the complex numbers here:

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Answer:

-1+6i

Step-by-step explanation:

(3+8i)-(4+2i)

3+8i-4-2i

3-4+8i-2i

-1+6i

Answer:

"Yes, there is no value in the domain that corresponds to more than one value of the range."

Step-by-step explanation:

Recall that for a relationship to be a function, each element of the domain should have only one associated value in the range.

So in the example given in coordinate pair form: {(1, 3), (-4,0), (3, 1), (0, 4), (2, 3)}

notice that:

the element 1 in the Domain relates to 3 in the Range,

the element -4 of the Domain relates to 0 in the Range,

the element 3 in the Domain relates to the number 1 in the Range,

the element 0 in the Domain relates to 4 in the Range,

and finally the element 2 in the Domain relates to 3 in the Range.

Each of the elements in the Domain, relate to one and only one element in the Range. The fact that one of the related values is repeated is not an obstacle for the relationship to be a function.

The correct answer therefore is:

"Yes, there is no value in the domain that corresponds to more than one value of the range."

Answer:4

Step-by-step explanation: