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azamat
3 years ago
6

Diego tried to solve the equation 13(x+15)=3

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

x=0.107

Step-by-step explanation:

First we distribute 13 to x and 15. That gives us 13x+15x=3. Now we add 13x and 15x, that gives us 28x=3.  Now we divide by 28 on both sides. That gives us x=0.107

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Simplify the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-5%2Bi%7D%7B2i%7D" id="TexFormula1" title="\frac{-5+i}{2i}"
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Step-by-step explanation:

(-5+i)         i

---------* --------

2i             i

cannot have i in the denominator so we multiply by i

(-5+i)         i             -5i + i^2

---------* --------  = ----------------

2i             i              +2i^2

remember i^2 = -1

     -5i + -1        -1 -5i

= ---------------- = ------------------

    +2(-1)                        -2

get rid of the negative in the denominator by multiplying the top and bottom by -1

    (-1 -5i) * -1

= ------------------

          -2*(-1)


    (1 +5i)

= ------------------   =   1/2 + 5/2 i

          2

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