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8_murik_8 [283]
3 years ago
12

Express the complex number in trigonometric form.

Mathematics
1 answer:
Maru [420]3 years ago
7 0
-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)

The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude. 

The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)

This is why the answer is choice A) 5(cos(270) + i*sin(270))

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1 x) = 5x what is<br> (a)?<br> n<br> 17 (1)=-52<br> ()
Sonbull [250]

Answer:

its 78

Step-by-step explanation:

7 0
3 years ago
Bill's Bargains sells 16 ounces of Circle O's cereal for $3.36. Debbie's Deals sells 40 ounces of Circle O's cereal for $7.60. W
astraxan [27]

Answer:

Debbie's Deals has the better deal with a price of $0.19 per ounce compared to Bill's Bargains at $0.21 per ounce.

Step-by-step explanation:

Divide $3.36 by 16 = $0.21

Divide $7.60 by 40 = $0.19

Debbie's Deals sells the Circle O's cereal for a cheaper per ounce price thus it's the better price and the better deal.

Good luck!

7 0
3 years ago
Explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value. Which property of addition states
gtnhenbr [62]
I would say commutative. 

8 0
3 years ago
Read 2 more answers
4-2x=11 how do I solve
Bingel [31]

Hey there!☺

Answer:\boxed{x=\frac{-7}{2}}

Explanation:

4-2x=11

In our first step, we will simplify both sides of the equation:

4+-2x=11\\-2x+4=11

Now subtract 4 from both sides:

-2x+4-4=11-4\\-2x=7

In our last step, we will divide both sides by -2:

\frac{-2x}{2}=\frac{7}{-2}\\  x=\frac{-7}{2}

x=-7/2 is your answer.

Hope this helps!☺

3 0
3 years ago
Geometric sequences HELP ASAP!
Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{560}{1120}

r=0.5

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where a is the first term and r is the common ratio.

Putting a=1120, r=0.5, we get

a_n=1120(0.5)^{n-1}

Therefore, the required formula for the given sequence is a_n=1120(0.5)^{n-1}.

We need to find the 10th term of the given sequence. So, substituting n=10 in the above formula.

a_{10}=1120(0.5)^{10-1}

a_{10}=1120(0.5)^{9}

a_{10}=1120(0.001953125)

a_{10}=2.1875

Therefore, the 10th term of the given sequence is 2.1875.

6 0
3 years ago
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