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Citrus2011 [14]
3 years ago
13

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

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

1/2 + 3i is the midpoint between -2-3i and 3+9i.

Step-by-step explanation:

Given the complex number

  • -2-3i
  • 3+9i

The formula to find the midpoint of two complex number (a + bi) and (c + di) is:

M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}

M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}

M=\frac{-2+3+\left(-3+9\right)i}{2}

M=\frac{1+6i}{2}

M=\frac{1}{2}+3i

Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.

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Im so confused! Can someone help me? I need to find the value of the variable and the measures of the angles.....
nikdorinn [45]
Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:

4x + 28 = 180

This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:

(x + 34) = 72°
(2x - 6) = 70°
x° = 38°

4 0
3 years ago
James wants to construct a regular hexagon inscribe in a circle with center O and diameter PQ
Brums [2.3K]

Answer:

B. Place the compass at P and draw an arc of length OP across the circle.

Below is the diagram for help.

Step-by-step explanation:

We are given with an already constructed circle of diameter PQ and OP as radius.

To draw a regular hexagon(six-sided), we need to make first cut on the circle of an arc equal to radius of the circle taking any point of the diameter as center

So here, We will consider P as a center and take an arc of length OP and make a cut on the circle.

This would be the first step and James need to repeat the same steps by considering the newly formed cut as center each time.

6 0
3 years ago
When 3^2 – 2 + 7 is subtracted from 5^3 – 4^2 + 10, what is the difference?
xxTIMURxx [149]
The difference is 105
3^2 - 2 + 7 =
(3 x 3) - 2 + 7 =
9 - 2 + 7 = 14

5^3 - 4^2 + 10 =
( 5 x 5 x 5) - ( 4 x 4) + 10
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119 - 14 = 105
6 0
3 years ago
Does anyone know the awnser to this problem?
ASHA 777 [7]

x y

1 16

2 12

3 8

5 0

Step-by-step explanation:

you have to substitute ever number on the X side in the equation to get the Y

for example 1 is under x so you will take

y=20-4(1)

y=20-4

y=16

3 0
2 years ago
Divide 8/12 to find equivalent fraction?
Phantasy [73]
If you divide 8 by 4, it comes to 2
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That fraction is 2/3

The Fraction 10/15 is equal to 2/3 because...

If you divide 10 by 5, it comes to 2
If you divide 15 by 5, it comes to 3
5 0
4 years ago
Read 2 more answers
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