Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

−5+7i

5−1

−1+7i

−1+14i

The expression represents  the number rewritten in a+bi form.

Step-by-step explanation:

The value of is in term of

Substituting the value,

Product of two negative numbers is always positive.

Now in term of

Substituting the value,

Product of one negative  and one positive numbers is always negative.

Now can be written as follows,

Applying radical multiplication rule,

Now, and

Now substituting the above values in given expression,

Simplifying,

Collecting similar terms,

Combining similar terms,

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

The correct answer to this question is (4,-2).

Vertex B of trapezoid ABCD has coordinates (7, −2). It is said that the trapezoid is translated 3 units left. That means that the trapezoid is moved 3 points to the left (at x axis). So 7-3 = 4. This means that the new coordinate of vertex B is (4,-2)