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1 year ago

What is the standard form of (5+i)(6-5i)/2i(-3+7i)

Mathematics

1 answer:

Margaret [11]1 year ago

6 0

Answer:

Since all parts of 2i(-3+7i) is in the denominator, you have to use an extra set of parentheses around the whole denominator. this is what you do

(5+i)(6−5i) / (2i(−3+7i))

= (30−25i+6i−5i^2) / (−6i+14i^2)

= (35−19i) / (−14−6i)

= (35−19i)(−7+3i) / (2(−7−3i)(−7+3i))

= (−245+105i+133i−57i^2) / (2(49−9i^2))

= (−188+238i) / (2(58))

= (−188+238i) / 116

= −47/29 + 119/58 iso that is how you do it

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Please help!! This is so confusing! 100 points!!

masya89 [10]

Answer:

The value of the expression given is:

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2)
[(2^(-2))/(3^3)]^4
3^28

Now, we can solve each part one by one:

First part.

3^8 = 6561
2^(-5) = 0.03125
9^0 = 1 (Whatever number elevated to 0, its value is 1)
(6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688

Second part.

2^(-2) = 0.25
3^3 = 27
0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528

Third Part.

3^28 = 2.287679245 * 10^13 or 22876792450000

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

3 0

2 years ago

Read 2 more answers

You are ordering DVD's from a web site. They charge $14 for each DVD. For any order you must pay an additional $6 for shipping a

valkas [14]

Answer:

y = 16x + 6

Step-by-step explanation:

They charge $14 for each DVD, which mean the slope of the function is 14

You must pay an additional $6 for shipping and handling, which means no matter how many DVD you buy, you have to pay a flat fee for $6

So our function is:

y = 16x + 6 where:

y is total cost

x is the number of DVD you buy (x>0)

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%20%2B%20%5Csqrt%5B3%5D%7B0.027%7D%20-%20%5Csqrt%5B3%5D%7B125%7D" id="

e-lub [12.9K]

Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again

10 + 3 square root 27/1000 - 5

Step 2: calculate the cube root

10 + 3/10 -5

Step 3: subtract the #’s

5 + 3/10

Step 4: calculate and you get

53/10

Answer: 53/10

3 0

2 years ago

Please help me:(I’ll give you the brainliest

Savatey [412]

Answer:

The range of values for x is; 5 < x < 29

Step-by-step explanation:

The given parameters are;

$\overline {AB}$ = 15