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uranmaximum [27]
2 years ago
8

Find two complex numbers that have a sum of i10 a different of -4and a product of -29​

Mathematics
1 answer:
lianna [129]2 years ago
8 0
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

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Answer:

As per the statement:

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then;

P(A) = 0.25 and P(B) = 0.15

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We use the formula:

P(A/B) = \frac{P(A \cap B)}{P(B)}

where

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1 year ago
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
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<span>So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> <u>73</u> - <u>17  </u> = <u>73 x 6 </u> - <u>17 x 8 </u> <u>
</u>       8      6        8 x 6       6 x 8</span><span>
=> <u>438</u> – <u>136 </u> Now, we have the same denominator, subtract</span><span>
      48       48
=> <u>302 </u> or  <u>151</u>
       48          24
=> 6 <u>7</u>
       24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.</span>



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2 years ago
The radius of circle G is 4 cm. What is the tangent
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