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harkovskaia [24]
3 years ago
5

Find the distance between -2-3i and 3+9i

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answer:

13

Step-by-step explanation:

We can consider the complex number x+iy as point with coordinates (x,y), where x is real part of the complex number and y is an imaginary part of the complex number.

The distance between two complex numbers is exactly tha distance between two points corresponding to each number.

z_1=-2-3i\Rightarrow A(-2,-3)\\ \\z_2=3+9i\Rightarrow B(3,9)

Now find the distance between A and B:

AB=\sqrt{(-2-3)^2+(-3-9)^2}=\sqrt{(-5)^2+(-12)^2}=\sqrt{25+144}=\sqrt{169}=13\ units

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Is 400% of 8 less than 10, greater than 10 but less than 100, or greater than 100
vredina [299]
400% of 8 is 32, so it is greater than 10, less than 100
8 0
3 years ago
What is 61 divided by 207.4
romanna [79]
The answer is 0.2941.

Hope this helps!!
3 0
3 years ago
Read 2 more answers
A courtyard is shaped like a square with 250ft long sides. What is the distance from one corner of the courtyard to the opposite
Valentin [98]
Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
h= \sqrt({25}0^{2} +250^{2} )
h= \sqrt{125000}
h=353.6
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>

6 0
3 years ago
According to the rational root theorem, the numbers below are some of the potential roots of f(x) = 10x3 29x2 – 66x 27. select a
exis [7]

The actual roots of the function f(x)=10x^{3}+29x^{2} -66x+27 are -9/2, 3/5 and 1.

Given  function f(x)=10x^{3}+29x^{2} -66x+27.

Function is a relationship between two or more variables expressed in equal to form.

The roots of a polynomial function are the zeroes of the polynomial function. A polynomial function is a function that involves only non negative integer powers in an equation.

The polynomial function is given as:

f(x)=10x^{3}+29x^{2} -66x+27

factorize the above function

f(x)=(2x+9)(5x-3)(x-1)

Now put the function f(x) equal to zero.

f(x)=(2x+9)(5x-3)(x-1)

split the function means put all the expressions equal to zero as under:

(2x+9)(5x-3)(x-1)=0

solve each for the value of x

x=-9/2,x=3/5,x=1

Hence the roots of the function f(x)=10x^{3} +29x^{2} -66x+27 are which are also the values of x are -9/2,3/5,1.

Learn more about function at brainly.com/question/10439235

#SPJ4

6 0
2 years ago
Find the area of the circle.
S_A_V [24]

Answer:

The area of the circle is A = 12.56 m²

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is A = π r² , where r is the radius of the circle

- In any circle the length of the radius is half the length of its diameter

* Lets solve the problem

- The diameter of the circle is 4 meters

∵ The radius of the circle = 1/2 diameter

∵ The diameter = 4 meters

∴ The radius = 1/2 × 4 = 2 meters

- The area of the circle is A = π r²

∵ The value of π = 3.14

∵ The length of r = 2 meters

- Substitute the value of r in the rule of the area

∵ A = π r²

∴ A = 3.14 × (2)²

∴ A = 3.14 × 4 = 12.56 meters²

* The area of the circle is A = 12.56 m²

6 0
3 years ago
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