Convert the complex number from rectangular form to polar form. show all work for full credit. z= -14 + 8i explain!

z = 2 sqrt(65) (cos( -.52) +i sin (-.52) )

Step-by-step explanation:

to find the radius = sqrt(a^2 +b^2)

r = sqrt((-14^2 +8^2))

r = sqrt( 196+ 64)

r = sqrt (260)

r = sqrt(4*65)

r = 2sqrt(65)

theta = arctan (b/a)

theta = arctan (8/-14)

theta = arctan (-4/7)

theta =-.52 radians

z = r (cos theta + i sin theta)

z = 2 sqrt(65) (cos( -.52) +i sin (-.52) )

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)