Graph the point z= \sqrt{3}-i and find the modulus and

absolute value of a complex number, axis of symmetry, binomial, completing the square, complex conjugate, complex number, complex plane, discriminant, imaginary number, imaginary part, imaginary unit, maximum value, minimum value, parabola, quadratic function, quadratic inequality in two variables, quadratic model, quadratic regression, real part, root of an equation, standard form, trinomial, vertex form, vertex of a parabola, zero of a function. Complete the sentences below with vocabulary words from the list above. The number 5i can be classified as both a(n)_______ and a ______.

Compute $$(\frac{5}{3}+2i)+(13+\frac{7i}{9})$$

For what values of m and n does ${\displaystyle {\int }_C{z}^m{z}^{-n}dz=0}$ and for what values does ${\displaystyle {\int }_C{z}^m{z}^{-n}dz=2i\pi }$?
I am stuck on this problem, any hint?

Find $$(5+7i)\times (5+6i)=$$?

Subtract 2+6i from $$\frac{9}{7}+\frac{4i}{9}$$.

Solve $$(3+2i)\times (2+7i)=$$?

Sums and Differences. Evaluate the sum or difference, and write the result in the form ${\displaystyle a+bi}$.
${\displaystyle (3+2i)+5i\text{and}3i-(2-3i)}$