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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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The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of
viva [34]

Answer:

<em>500πx³y³z³ </em>

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0
2 years ago
The midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y​
Mariana [72]

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

\frac{3x - 4}{2}

This implies:

1 =  \frac{3x - 4}{2}

3x - 4 = 2 \\ 3x = 2 + 4 \\  \frac{3x }{3}  =  \frac{6}{3}  \\ x = 2

In a similar way,

4 =  \frac{ - 2 + 5y}{2}  \\  - 2 + 5y = 8 \\ 5y = 10 \\ y = 2

The question demanded (x,-y)

Hence(2,-2) is the answer

7 0
2 years ago
Write the equation of the perpendicular bisector of CD.
Luda [366]
You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = (\frac{x1+x2}{2} ,  \frac{y1+y2}{2})

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)


8 0
3 years ago
Read 2 more answers
Solve the expression 3x+15-2x+12
muminat
3x + 15 - 2x + 12

(3x - 2x) + (15 + 12)

x + 26

hope this helped :)
8 0
2 years ago
Please help look at the screenshot
Tpy6a [65]

Answer:

Step-by-step explanation: 40 newtons to the right

4 0
2 years ago
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