Question

can someone help me
Write the expression in standard form.

Answer 1

\[\frac{ 5 }{ 3-15i }\]

Answer 2

standard form is ax+by=c

Answer 3

standrd form should be a + bi

Answer 4

Oh I am thinking of a graph yeah I think you are right @d3v13

Answer 5

so basically multiply both the sides by something to get that form

Answer 6

so what do i multiply it by

Answer 7

(3 + 15i )/(3 + 15i)


recall i^2 = -1

Answer 8

\[\frac{ 5 }{ (3-15i )}*\frac{ (3 + 15i) }{ (3 + 15i) } =\]

Answer 9

You don't want an imaginary number in the bottom, so switch the sign and multiply by the conjugate thing

Answer 10

you good ?

Answer 11

oa ya but how does that equal to a fraction \[\frac{ 5 }{ 78 } -\frac{ 25 }{ 78}i\] \[\frac{ 5 }{ 78 } +\frac{ 25 }{ 78}i\] \[-\frac{ 5 }{ 78 } +\frac{ 25 }{ 78}i\] \[-\frac{ 5 }{ 78 } -\frac{ 25 }{ 78}i\] these are my choices

Answer 12

you need to multiply those two fractions ...

Answer 13

\[\frac{ 5(3+15i) }{ (3-15i)(3+15i) }=\]

Answer 14

remember i^2 = -1

Answer 15

\[\frac{ 5(3+15i) }{ (3-15i)(3+15i) }= \frac{ 15 + 75 i }{9 -15i + 15i -225*(-1) } =\]

Answer 16

whats next?

Answer 17

ok i got that

Answer 18

\[\frac{ 15 + 75i }{ 234 }\]

Answer 19

just have to reduce the fractions.

Answer 20

\[\frac{ 15 + 75 i }{9 + 225 }\]

Answer 21

234 sorry

Answer 22

\[\frac{ 15 + 75i }{ 234 } = \frac{ 15 }{ 234 } + \frac{ 75i }{ 234 }\]

Answer 23

simplify

Answer 24

yes, just reduce the fractions

Answer 25

\[\frac{ 5 }{ 78 } +\frac{ 25 }{ 78}i\]

Answer 26

yep, standard form --- a + b*i

Answer 27

thanks

Answer 28

welcome