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DiKsa [7]
3 years ago
8

Perform the division write the result in STANDARD form. Show your work. 2+i/7-i

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

9514 1404 393

Answer:

  0.26 +0.18i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{2+i}{7-i}=\dfrac{(2+i)(7+i)}{(7-i)(7+i)}=\dfrac{13+9i}{50}=\boxed{0.26+0.18i}

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The difference of two numbers is 40. Find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.
puteri [66]

Answer:Let the two unknown numbers be x and y.

So, x-y=40 ........Equation 1

And 0.3(x)= 37.5/100 (y)

From equation 1, x=40+y

Now, multiply through by 100 in equation 2.

We have,

30x = 37.5 (y)

We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.

Therefore, we have

300x = 375 (y)

Put "x=40+y" in the equation above

That is, 300 (40+y) = 375 (y)

1200 + 300y = 375y

1200 = 375y - 300y

1200 = 75y

Divide both sides by 75 to get your y

Therefore, y =16

From equation 1, we had x= 40 + y

Therefore X = 40 + 16

X= 56

Therefore the two unknown numbers are 56 and 16 respectively.

Step-by-step explanation:

6 0
4 years ago
Plz answer b I don't get it
rewona [7]
What is the question??
5 0
3 years ago
What 2 numbers add up to 37 and multiply to -210?
dedylja [7]
Let us assume the two unknown numbers to be "x" and "y".
Then
x + y = 37
And
xy = - 210
x = - 210/y
Now let us put the value of "x" in the first equation, we get
x + y = 37
- (210/y) + y = 37
y^2 - 210 = 37y
y^2 - 37y - 210 = 0
y^2 - 42y + 5y - 210 = 0
y(y - 42) + 5(y - 42) = 0
(y - 42)(y + 5) = 0
So when
y - 42 = 0
y = 42
Then
x = -(210/42)
   = - 5
Again when
y + 5 = 0
y = -5
Then
x = 42
So the two unknown numbers are 42 and -5. I hope the procedure is clear enough for you to understand.
7 0
3 years ago
Picking a multiple of 7 from the integers between 1 and 40​
FromTheMoon [43]

7,14,21,28,35

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

6 0
3 years ago
The product of 4 and the sum of a number x and 8
Mademuasel [1]

Answer:

4(x+8)

Step-by-step explanation:

hope this helps

Then if you want to know the value of x.

This is the solution 4(x+8)

4x+32 to find the x divide both by side by 4.

4x/4+32/4

x=8

7 0
3 years ago
Read 2 more answers
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