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ycow [4]
3 years ago
10

Topic 9 Review

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
Merry Christmas and a happy new year
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Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

<u>Step(ii)</u>:-

<em>The distance between the two points are </em>

    A B   =   \sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2}    }

    A B =   \sqrt{(10 - 1)^{2}+(-9 - (-9))^{2}    }

   AB   = \sqrt{(9)^{2} +(-9+9)^{2} }

 <em> AB    =  √81 = 9</em>

<u><em>Conclusion:-</em></u>

The distance between the two given complex numbers = 9

<u><em></em></u>

3 0
3 years ago
X &lt; -4.8
Kamila [148]

Answer:

D & E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which statements are true?
Rina8888 [55]

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).

4 0
3 years ago
Help this is due today, its one question
strojnjashka [21]
2389.51 times 6% equals 143.37 so 6% of his total sales equals 143.37.  6.25 times 37.5 equals 234.37  234.37+143.37 equals 377.745 so no it isn't enough. I hope this answer helps you
7 0
3 years ago
Solve for x<br> x - 2/3 = 3
seropon [69]

Answer:

x = 11/3

Step-by-step explanation:

x - 2/3 = 3

³⁾x = ³⁾3 + 2/3

3x = 9 + 2

3x = 11

x = 11/3

3 0
3 years ago
Read 2 more answers
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