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3 years ago

Which graph shows a plot of the complex number i − 2?

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

Given:

Complex number: i − 2?

<span>i - 2 is $-2 + i$ in standard form. So, the point is 2 left and 1 up from the origin and the graph that shows a plot of the complex number i – 2 is the second graph. Please see attached image for the graph.</span>

To add, expressing a number in the form a + bi, whereas the real numbers are b an a, while i is the imaginary unit (which satisfies the equation i2 = −1) is called a complex number. a is called the real part of the complex number, and b is called the imaginary part In the given expression.

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5

Anuta_ua [19.1K]

Answer:

$y = \frac{3}{2} x-11$

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is $y = - \frac{2}{3} x+5$ .

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be $\frac{3}{2}$ .

Then, we will find the y-intercept of the line using the standard equation of a line:

$y=mx+c$

$1=\frac{3}{2} (8)+c$

$c=-11$

Therefore, the equation of the line will be $y = \frac{3}{2} x-11$ .

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3 years ago

Read 2 more answers

The object of the game is to toss a beanbag in the circular hole of a 48-by-24-inch board. If the diameter of the circle is 6 in

larisa [96]

Answer:

Geometric probability of an object hitting a circular hole is 0.0245.

Step-by-step explanation:

We have given,

A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.

So,

Area of a board = 48 × 24 = 1152 square inches

And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}

Area of circular hole = π×3² = 9π = 28.27 square inches

Now, we need to find the geometric probability of an object will hit the circle.

Geometric probability = Area of circular hole / Area of board

Geometric probability = $\frac{28.27}{1152}$

Geometric probability = 0.0245

hence geometric probability of an object hitting a circular hole is 0.0245.

6 0

3 years ago

Steve and Michele and celebrating their 30th anniversary by having a reception at the local reception hall. they have a budget o

serious [3.7K]

$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450

$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29

111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491

They can invite 111 people and will have $9 to spare

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3 years ago

I need the mean of 17, 19, 21, 23

4vir4ik [10]

Answer:

Step-by-step explanation:

to find the mean, it means to find the average.

steps:

first, you add up all the numbers.

then you divide that total number by the total number of numbers you have.

and that is ur answer!!

17+19+21+23=80 add up all numbers

80÷4=20 divide total by the amount of numbers

The average/mean is 20.

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3 years ago

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What is the area of the figure

topjm [15]

Answer:108 ins. squared

Step-by-step explanation:

So first you want to decide which way you want to divide the shape.

I am going to do it this way...

So the bottom is 16ins. and the top part is 10 ins.

So when you subtract 16-10 you get 6.

This means that the small portion sticking up is 6 ins. across.

According the left side the width with the small part is 8 ins.

So now we find the area of that half.

6 times 8 is 48ins.

Now we are going to get the other part.

The top says it is 10 ins.

The side says it is 6 ins.

Now we multiply 10 by 6 nd get 60 ins

We are almost finished, all we have to do is add 60 and 48.

Your answer is 108ins.squared.

7 0

3 years ago