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8090 [49]
3 years ago
8

Calculate the distance between (-2 - 5i) and (1 + 3i)

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

d = sqrt(73)

d is approximately 8.544003745

Step-by-step explanation:

To find the distance we use the formula

d = sqrt ( (x2 -x1)^2 + (y2-y1)^2)  

where x are the real coordinates and y is the imaginary coordinates

d = sqrt ( (1--2)^2 + (3--5)^2)  

d = sqrt ( (1+2)^2 + (3+5)^2)

d = sqrt ( (3)^2 + (8)^2)  

d = sqrt( 9+64)

d = sqrt(73)

d is approximately 8.544003745

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A man buys a book for Rs 400 and sells it for Rs 420 his profit is​
motikmotik

Answer:

20

Step-by-step explanation:

420-400=20

6 0
3 years ago
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The sum of three numbers is 11 . The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is
Assoli18 [71]

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

4 0
2 years ago
in a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How man students wear glasses?
statuscvo [17]
20 students.

40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 =  12 girls.

25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
   
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
7 0
3 years ago
Factor the following expression, and verify that the factored expression is equivalent to the original
Sunny_sXe [5.5K]

Answer:

Final answer

(4X+1)(4X-3)

5 0
3 years ago
How to do step by step this
timofeeve [1]

Answer:

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= 1/4 - (2/5 + (1/3 - (6/2 - 7/2) - 1/4) - 2/15)

= 1/4 - (2/5 + (1/3 - (-1/2) - 1/4) - 2/15)

= 1/4 - (2/5 + (1/3 + 1/2 - 1/4) - 2/15)

= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)

= 1/4 - (2/5 + (7/12) - 2/15)

= 1/4 - (2/5 + 7/12 - 2/15)

= 1/4 - (24/60 + 35/60 - 8/60)

= 1/4 - (51/60)

= 15/60 - 51/60

= -36/60

= -3/5

8 0
3 years ago
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