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MAVERICK [17]
3 years ago
15

Find the distance between the points below. 4 + 3i and 9 – 9i

Mathematics
1 answer:
stich3 [128]3 years ago
7 0

Answer:

13 units.

Step-by-step explanation:

The complex numbers can be thought of as points on the xy plane, where their real part (denoted Re(z)), and their imaginary part (Im(z)) serve as the coordinates for these numbers, and since we know how to calculate distances between points we can calculate the distance between these numbers:

Formula: d(z_1, z_2) = \sqrt{(\Re(z_2) - \Re(z_1))^2 + (\Im(z_2) - \Im(z_1))^2}{} =>\\d(4+3i, 9 - 9i) = \sqrt{(9-4)^2 + (-9-3)^2} = \sqrt{5^2 + 12^2} = \sqrt{169} = \sqrt{13^2} = 13

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Answer:

Statement 1:  UV ║ WZ

Statement 2: Points S,Q,R and T are all lie on the same plane.

Statement 3:  m<SQT=180 deg

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Statement 5:  m<SQV + m<VQT = 180 deg

Now, the next statement is as:

Statement 6:   which is statement III.  

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Statement 7:  which is statement II.

(Substitution property of equality) m<SQV + m<VQT = m<VQT + m<ZRS

Statement 8:  m<SQV + m<VQT - m<VQT = m<VQT + m<ZRS - m<VQT

which is statement I.

(Subtraction property of equality)

So, the correct order of the given reasons to complete the proof is III, II, I.  

Step-by-step explanation:

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