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Elodia [21]
2 years ago
10

Plot 8i in the complex plane

Mathematics
1 answer:
dusya [7]2 years ago
4 0

Answer:

The coordinates of 8i on the a complex plane are

(0, 8i)

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Um help! how do I do this?
valkas [14]
1/2 t-4(2+t)=20
1/2 t-8-4t=20
least common multiple=2
t-16-8t=40
-7t=40+16
-7t=56
t=56/-7=-8

Answer: t=-8

To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
5 0
3 years ago
Read 2 more answers
Multiply the sum “n+25” by 3/5
Mars2501 [29]

Answer:

15

Step-by-step explanation:

4 0
3 years ago
About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X
VMariaS [17]
For the answer to the question above asking w<span>hat is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy?
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3 0
3 years ago
hus, D satisfying ​(ABC)DequalsI exists. Why does the expression for D found above also satisfy ​D(ABC)equalsI​, thereby showing
Assoli18 [71]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     D =  A^{-1}  *  B^{-1} *  C^{-1}

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that A^{-1} , B^{-1}, C^{-1} exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  A^{-1}  we have

          A^{-1}  A BCD =  A^{-1} * I

          IBCD =  A^{-1}

Now when we multiply both sides by  B^{-1}  we have  

         B^{-1 } *I BCD =  A^{-1}  *  B^{-1}

         I CD =  A^{-1}  *  B^{-1}

Now when we multiply both sides by  C^{-1}  we have  

          C^{-1} * I CD =  A^{-1}  *  B^{-1} *  C^{-1}

              I D =  A^{-1}  *  B^{-1} *  C^{-1}

                 D =  A^{-1}  *  B^{-1} *  C^{-1}

So substituting for D in the above equation

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

 

4 0
3 years ago
Suppose you are covering your desk (shape below) with paper and want to know how many square inches of paper you need.
zavuch27 [327]

Answer:

a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).

b. 279\ in^2

c. The total area of the figure is 279 square inches.

Step-by-step explanation:

a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,

b. The area of a rectangle can be found using this formula:

A=lw

Where "l" is lenght  and "w" is the width.

 Area of Rectangle A

You can identify that:

l_A=19\ in\\\\w_A=11\ in

Then, its area is:

A_A=(19\ in)(11\ in)=209\ in^2

Area of Rectangle B

You can identify that:

l_B=10\ in\\\\w_B=18\ in-11\ in=7\ in

Then, its area is:

A_B=(10\ in)(7\ in)=70\ in^2

Total area

A_T=209\ in^2+70\ in^2=279\ in^2

c. The total area of the figure is 279 square inches.

3 0
3 years ago
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