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Oksana_A [137]
3 years ago
5

What is the distance between -2-3i and 3+9i

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

d = 13

Step-by-step explanation:

The distance formula in a complex plane is \sqrt{(s-a)^{2} + (t-b) }. Let us say that points (a,b) are (-2,-3) and points (s,t) are (3,9), both coordinates derived from given. Substitute the numbers into the equation to get the distance.

d = \sqrt{(3-(-2))^{2} + (9-(-\\3))^{2} }

d = 13

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A rectangular prism has volume 4,800 cubic yards, length 20 yards, and height 40 yards. Find its width, in yards.​
Oksi-84 [34.3K]

Answer: 6 yards.

Step-by-step explanation:

First, multiply the length and the height to get 800. You know now that 800 times the width will be your volume, 4800. To find the width, divide the volume by 800, which is the length times the height. Check your work by doing 40 times 20 times 6. You get 4800, which is your volume, which means your correct!

8 0
3 years ago
A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for children. They also bought 3 soda
Nesterboy [21]

Answer:

Total for all the movie tickets:$31

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8 0
2 years ago
The equation for Y=x+5 and y=-2x-1
Olenka [21]
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8 0
3 years ago
Can some one help me please
11111nata11111 [884]

Answer:

2x²√13

Step-by-step explanation:

Step 1:  When there is multiplication under a square root sign (also called a radical sign), you can rewrite the expression as the product of two square roots, like this...

√(52x^4)   can be rewritten as     (√52)(√x^4)

Step 2:  x^4 = x²x², so it's the same thing as saying (x²)², or "x-squared, squared".  Taking the square root of it leaves just x-squared, so this simplifies to

  (√52)x²

Step 3:  When taking the square root of a number that is not a perfect square, you need to do a factor tree to see if you can break the number up into a product of perfect squares, or a perfect square multiplied by a prime number.

52 is an even number, so we an at least divide by 2.  

        52/2  is 26, so we have

                  (26)(2)

2 is a prime number, so we don't break that down any further.

26 is even so it is also divisible by 2,

   26/2 is 13, so we have

     (13)(2)(2)

  which we can write as (13)(4)     (groups pairs of numbers together)

(2)(2) is 4, which results in a perfect square, so we can rewrite √52 as

      (√4)(√13),       since √4  = 2, we simplify this expression to

       2√13

So √(52x^4) breaks down to (√52)(√x^4), which further breaks down into

  (2√13)(x²)

We simplify the expression to 2x²√13

3 0
3 years ago
Which of the following expressions are equivalent to (6.2+6.2)+9.4? Choose two answers. plz help​
puteri [66]

Answer:

Step-by-step explanation:

In my opinion the answer should be A B and E

3 0
3 years ago
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