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8090 [49]
3 years ago
8

What is the standard form of (1+2√-3)/(1+√-3)

Mathematics
2 answers:
miv72 [106K]3 years ago
7 0
1.75+0.43301270i
hope this helped and let me know if i was right plz

ExtremeBDS [4]3 years ago
3 0

Answer:

\frac{7}{4} +\frac{3}{4} i

Step-by-step explanation:

(1+2\sqrt{-3} )/(1+\sqrt{-3})

To remove the negative sign from square root use 'i'

square root (-1) is 'i'

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i}

Multiply top and bottom by conjugate of (1+\sqrt{3}i)

Conjugate of (1+\sqrt{3}i) is (1-\sqrt{3}i)

Multiply it at the top and bottom

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i} \cdot \frac{1-\sqrt{3}i}{1-\sqrt{3}i}

Multiply numerator and denominator using FOIL method

\frac{1-\sqrt{3}i+2\sqrt{3}i-3i^2}{1+3}

the value of i^2 is -1

\frac{1+\sqrt{3}i-6(-1)}{4}

\frac{1+\sqrt{3}i+6}{4}

\frac{7+\sqrt{3}i}{4}

\frac{7}{4} +\frac{3}{4} i

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3 years ago
Please help will give brainlesit
Alona [7]

Step-by-step explanation:

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hope it helps

6 0
3 years ago
1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (
oee [108]

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

A(t) = A(0)(1-r)^t

In this question, we have:

y = 5000*(0.98)^x

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

7 0
2 years ago
A clock's minute hand moves 60 grades
Ivan
60 grades in 10 minutes
So 6 grades in 1 minutes
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3 years ago
Inverse of f(x) =e^2x- 4
nikitadnepr [17]

Answer:

f−1(x)=ln(x+4)/ 2

Step-by-step explanation:

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