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Eduardwww [97]
2 years ago
10

Find the distance between 2-4i and d 6+i

Mathematics
1 answer:
liq [111]2 years ago
8 0

Answer:

7.211

Step-by-step explanation:

-For two points in the complex plane, the distance between the points is the modulus of the of the difference of the two complex numbers.

-Point 2-4i has the coordinates (2,-4)

-Point 6+i has the coordinates (6,1)

#We must find the distance between the two coordinates (2,-4) and (6,1):

=\sqrt{(6-2)^2+(1--4)^2}\\\\=\sqrt{4^2+6^2}\\\\=\sqrt{52}\\\\=7.211

Hence, the distance between the two points is 7.211

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There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you sti
maksim [4K]

Answer:

\frac{4}{5}

Step-by-step explanation:

If you have completed 5 questions, you still have 25-5=20 more questions to answer. We need to find what fraction 20 is of 25, if that makes sense. A fraction is simply a part over a whole. In this case, the part is 20 and the whole is 25. Therefore, the fraction we are looking for is \frac{20}{25}, which simplifies to \frac{4}{5}. Hope this helps!

6 0
2 years ago
Read 2 more answers
If ON = 7x - 5, LM = 6x + 4, NM = x + 6, and OL = 8y + 3, find the values of X and Y for which LMNO must be a parallelogram. Ple
Sladkaya [172]

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

<h3>Properties of a Parallelogram</h3>
  • The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
  • Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Learn more about parallelogram on:

brainly.com/question/7200842

6 0
2 years ago
What is 7/12 divided by 36?
Georgia [21]
7/12 = 0.84
0.84/36 = 0.0233·
3 0
3 years ago
Write 5.1• 10 to the power of 4
VashaNatasha [74]

Answer:

6765201

Step-by-step explanation:

(5.1*10)^4

51^4

6765201 (USED CALCULATOR)

5 0
3 years ago
Solve<br> 2X-3(x+4)=3x-4
Phoenix [80]

Answer: x=4

Step-by-step explanation:

2x-3(x+4)=3x-4

distribute 2x-3x-12=3x-4

combine like terms 5x-12=3x-4

Move everything to one side 2x-8=0

Get x by itself 2x=8

Divide by 2 x=4

6 0
3 years ago
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