Distance, Midpoint, Modulus, Conjugate of Complex Numbers

What is the distance between 2 - 3i and 5 - 2i

• 2.24

• 3.16

• 4.17

• 5.89

Find the distance between -3 + 5i and 2 - 9i

• 8.67

• 10.68

• 12.15

• 14.87

The distance between z=4-3i and w=-2-4i on the complex plane is...

• √35
• √35 i
• √37
• 5i

 $\left(5-2i\right)\left(3+2i\right)-4i\left(3+7i\right)$  can be simplified to

•  $47-4i$  

•  $-17-4i$  

•  $-17-8i$  

•  $47-8i$  

What is the conjugate of $-6+3i$  

•  $6+3i$  

•  $6-3i$  

•  $-6-3i$  

•  $-6+3i$  

 $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  is known as

• the Pythagorean Theorem

• the Quadratic Formula

• the Distance Formula

• the Midpoint Formula

What variable do we use to represent imaginary numbers?

• x

• y

• m

• i

 $i^2=?$  

• i

• -1

• -i

• 1