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DerKrebs [107]
2 years ago
13

Find the midpoint between 1 + 9i and 5 — 3i​

Mathematics
1 answer:
stellarik [79]2 years ago
3 0

Answer:

3+3i

Step-by-step explanation:

The mid point formula in a complex plane is for points a+bi and s+ti is

Midpoint = \frac{a+s}{2} +\frac{(b+t)i}{2} \\

For points 1 + 9i and 5 — 3i​

Midpoint = \frac{1+5}{2} + \frac{(9-3)i}{2}

Midpoint = \frac{6}{2} + \frac{6i}{2}

Midpoint = 3 + 3i

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Please help I will give brainliest to whoever answers this question
pantera1 [17]

Hi!

To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.

Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!

M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>

If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.

B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.

Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>

<em></em>

Hope this helps! :D

6 0
3 years ago
A person suspects a standard number cube is not so standard. Another person rolls this cube 100 times, and it lands on a six 42
Ksju [112]

Answer:

The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.

A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.

3 0
3 years ago
The vehicles petrol tank has a capacity of 40 litres. Will the vehicle be able to cover the full distance of 340km with on petro
mixer [17]

The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.

We need to determine if the petrol in the tank will be enough to cover that distance.

<h3>Distance</h3>

So, distance = petrol usage × volume of tank

Since

  • petrol usage = 14 km/l and
  • volume of tank = 40 l,

Substituting the values of the variables into the equation, we have

distance = petrol usage × volume of tank

distance = 14 km/l × 40 l

distance = 560 km

Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.

So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Learn more about distance here:

brainly.com/question/10428039

5 0
2 years ago
Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number.
fredd [130]

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

<em>Step 1: Add 24 and 10 to get 34.</em>

(34/2) * 7

<em>Step 2: Divide 34 by 2 to get 17.</em>

17 * 7

<em>Step 3: Multiply 17 by 7 to get 119</em>

119

The area of this trapezoid is 119 square units.

4 0
3 years ago
Read 2 more answers
I don't know how to do anything. I basically need help with everything
lutik1710 [3]
Okay,

Radius, is half of the diameter.
Diameter, is the line that splits the circle in half.

1). R=50 D=100
2). R=10 D=20
3). R=5   D=10
4). R=29 D=58
5). R=11 D=22
6). R=31.5 D=63
7). R=45 D=90
8). R=7   D=14
9). R=49 D=98

 
5 0
4 years ago
Read 2 more answers
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