Question

Write the expression in standard form.
All steps please

Answer 1

5/3-15i

Answer 2

if this is \(\frac{5}{3}-15i\) it is already in standard form
standard form is \(a+bi\) here \(a=\frac{5}{3}, b=-15\)

Answer 3

no its not like that

Answer 4

5
---
3-15i

Answer 5

oh maybe \(\frac{5}{3-15i}\)

Answer 6

yes

Answer 7

can you show me step by step

Answer 8

multiply top and bottom by the conjugate of the denominator

Answer 9

the conjugate of \(5-15i\) is \(5+15i\) and you know that \((5-15i)(5+15i)=5^2+15^2\)
you get
\[\frac{3}{5-15i}=\frac{3}{5-15i}\times \frac{5+15i}{5+15i}=\frac{3(5+15i)}{5^2+15^2}\] as a start

Answer 10

than what?

Answer 11

@satellite73 ????????/

Answer 12

then you are basically done
you compute \(5^2+15^2=250\) and \(3(5+15i)=15+45i\) and get
\[\frac{15+45i}{250}\] or
\[\frac{15}{250}+\frac{45}{250}i\] and then reduce the fractions

Answer 13

\[\frac{3}{50}+\frac{9}{50}i\] in standard form

Answer 14

thats not in the answer choices

Answer 15

\[\frac{5}{3-15i}=\frac{5}{3-15i}\frac{3+15i}{3+15i}=\frac{15+75i}{9+225}\]

Answer 16

\[(-15i)(15i)=-(i^2225)=225\]

Answer 17

Then simplify.

Answer 18

A B C D?

Answer 19

All the terms in my answer were positive.

Answer 20

so its B