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Harlamova29_29 [7]
3 years ago
8

What is the expanded form of this?

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

The first one

Step-by-step explanation:

...................

kotykmax [81]3 years ago
6 0
Yeah, it is the first one
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<img src="https://tex.z-dn.net/?f=%20-%203%20%2B%205i%20%20%5Cdiv%20%20-%203%20-%204i" id="TexFormula1" title=" - 3 + 5i \div
Likurg_2 [28]

Answer:

\frac{-11}{25}+\frac{-27}{25}i given you are asked to simplify

\frac{-3+5i}{-3-4i}

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is \frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i

6 0
3 years ago
Use rules of addition to find the sum -1+3=
Gnesinka [82]

Answer:

2

Step-by-step explanation:

go back wards by 2 to get the answer

8 0
3 years ago
A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point
MariettaO [177]

Answer:

2.03 ft

Step-by-step explanation:

132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03

6 0
3 years ago
PLS HURRY.<br> Determine whether each statement is true or false?
chubhunter [2.5K]
If B is the top center then all three are true
7 0
3 years ago
Read 2 more answers
Please help this is the only other question, Quarantine be killing me (thank god this is due till 10:30
Semenov [28]

Answer:

24m

Step-by-step explanation:

Area of a triangle = bh/2.

The base of this triangle is 6. The altitude for the bottom base is 8. Thus, 8 * 6 all over 2 is 24.

5 0
3 years ago
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