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GaryK [48]
3 years ago
14

Urgent! Please refer to photo below for full question.

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

A. The real part of the complex number is: A:3

B. The imaginary part of the complex number is: B:2i

Step-by-step explanation:


You might be interested in
6. Calculate the area of the octagon in the<br> figure below.
Kryger [21]

Answer:

41\text{ [units squared]}

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

  • 4 triangles (corners)
  • 3 rectangles (one in the middle, two on top after you remove triangles)

<u>Formulas</u>:

  • Area of rectangle with length l and width w: A=lw
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

<u>Area of triangles</u>:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}

The area of all four is then 2\cdot 4=8 units squared.

<u>Area of rectangles</u>:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 3\cdot 2=6 units squared, and the both of them have a total area of 6\cdot 2=12 units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of 7\cdot 3=21 units squared.

Therefore, the area of the entire octagon is 8+12+21=\boxed{41\text{ [units squared]}}

4 0
3 years ago
Can someone please please help me. ?????
stira [4]

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

6 0
2 years ago
Image shows a triangle with sides measuring 4 cm, 4 cm, and 4 cm.
malfutka [58]

Answer:

please mark me brainliest if it helps you

C. equilateral

5 0
2 years ago
How would you graph y=| x-2|-4
AVprozaik [17]
To graph ty function simply make a table of values, where you choose any value for x and substitute that value in the function.

Then take the absolute value of the expression in the square bracket.

It is always positive, the absolute value of -6 is 6 etc.

Then graph the resulting points.

Another way to do it is simply draw the graph of y = |x| then move it 2 spaces to the right and 4 spaces down, I believe.
4 0
3 years ago
Are exponential function one to one. How can you tell? What does this tell you about their inverses
aleksandrvk [35]

See in the explanation

<h2>Explanation:</h2>

<h3>1. Are exponential function one to one. How can you tell?</h3>
  • A function f is one-to-one if each value of x corresponds to exactly one value of y.

To demonstrate this, we take the Horizontal Line Test that states:

<em>A function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point.</em>

As you can see in the first figure, the horizontal line y=3 (the green one) intersects the graph of the exponential function y=e^x (the red one) in just one point. If you take every horizontal line y=y_{0} with y_{0} any real number, you will find that every line intersects the exponential function in just one point. Therefore, this function is one-to-one

<h3>2. What does this tell you about their inverses?</h3>

Another important thing is that:

  • A function has an inverse function if and only if is one-to-one.  

As we have demonstrated that exponential functions are one-to-one by Horizontal Line Test, then we conclude exponential functions have inverse functions. The domain of the inverse function is the range of the original one and the range of the inverse function is the domain of the original one. The inverse of y=e^x is y=ln(x) whose graph is the second figure below.

<h2>Learn more: </h2>

How to find the inverse of a function? brainly.com/question/9980183

#LearnWithBrainly

5 0
2 years ago
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