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jok3333 [9.3K]
3 years ago
9

Which complex number is represented by the point graphed on the complex plane below?

Mathematics
2 answers:
IceJOKER [234]3 years ago
6 0

Answer is C on 3dgenuity

balandron [24]3 years ago
4 0

Answer: The answer is (c) 3 - 4i.

Step-by-step explanation:  We are given a point located on the complex plane and we are to select the correct complex number that is represented by this point.

We can see that the co-ordinates of the point on the plane are (3, -4).

Since the point (a, b) can be written in the form a + bi, where 'a' is the measurement along X-axis and 'b' is the measurement along Y-axis, so the point (3, -4) an be written in the following form:

(3, -4) = 3 + (-4)i = 3-4i.

Thus, (c) is the correct option.

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For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing expon
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Consider the polynomial 6xy^2-5x^2y^?+9x^2.

For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.

Let the missing exponent of the 'y' term be 0

So, the polynomial will be 6xy^2-5x^2y^0+9x^2

= 6xy^2-5x^2+9x^2

= 6xy^2+4x^2 which is not a trinomial, which is a binomial.

So, the missing exponent of 'y' can'not be zero.

Let the missing exponent of the 'y' term be 2

So, the polynomial will be 6xy^2-5x^2y^2+9x^2

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= 6xy^2-5x^2y^2+9x^2 which is a trinomial of degree 4.

So, the missing exponent of 'y' can'not be '2'.

If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.

Let the missing exponent of the 'y' term be 1

So, the polynomial will be 6xy^2-5x^2y^1+9x^2

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= 6xy^2+4x^2 which is a trinomial of degree 3

So, the missing exponent of 'y' is 1.

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