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3 years ago

Simplify (3 + 6i) – (8 - 5i) Select one: a, -5 + i b. 6 C. 16 d. -5 + 11i

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

wolverine [178]3 years ago

8 0

Step-by-step explanation:

I hope this helps. The answer is D.

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Find the distance between the points given.

Y_Kistochka [10]

So the answer is (C)

c.2/5

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3 years ago

Solve the following logarithmic equations.<br> ln(32x^2) − 3 ln(2) = 3

Kazeer [188]

Answer:

$x=\pm \frac{\sqrt{e^{3} } }{2}$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln(32x^{2} )-ln(2^{3})=3\\ ln(32x^{2} )+ln(\frac{1}{2^{3} } )=3\\ln(\frac{32x^{2} }{8})=3\\ ln(4x^{2} )=3$

Cancel logarithms by taking exp of both sides:

$e^{ln(4x^{2}) } =e^{3} \\4x^{2} =e^{3}$

Divide both sides by 4:

$x^{2} =\frac{e^{3} }{4}$

Take the square root of both sides:

$x=\pm \sqrt{\frac{e^{3} }{4} } =\pm \frac{\sqrt{e^{3} } }{2}$

6 0

3 years ago

Please give the code word and the method as to how you did it

sladkih [1.3K]

Answer:

1. true 2. true 3. false 4. false 5. false

15 + 15 + 10 + 10 + 10 = 60/5 = 12 ( CODE WORD)

Step-by-step explanation:

1. There are different forms of linear equations. Slope intercept has it's equation y = mx + b

2. A proportional relationship has a constant rate of change.

ex: y =2x +5, then the rate of change is 2 and it only ever rises by 2.

3. A proportional relationship must pass through the origin in order to be a proportional relationship.

4. The variable M in slope-intercept form represents the slope. B represents the Y-intercept.

5. Standard form for a linear equation is Ax+By=C. Y = MX+B is slope-intercept form.

CODE WORD: 12 or Twelve is correct because 12 is the mean of all 5 answers.

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3 years ago

Consider the sequence -2, 6, -18, 54,

hram777 [196]

Answer: The sequence is geometric

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.

Common difference = given term - the term before it

In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.

Common ratio = given term/the term before it

Looking at the given sequence,

1) d = 6 - - 2 is not equal to - 18 - 6

Therefore, it is not an arithmetic sequence

2) r = 6/- 2 = - 18/6 = - 3

Therefore, it is a geometric sequence.

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3 years ago

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galina1969 [7]

Answer:

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Step-by-step explanation:

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