What is the distance in coordinate units between 2+6i and -4+3i in the complex plane

Answers

Answer 1

Answer:

lafante

Step-by-step explanation:

Answer 2

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

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Related Questions

What percent of 185 is 70?
(please show work)

Answers

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.

Answers

Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

What is the range of a set of data. A. The middle number. B. The average of the data. C. The difference in the largest value from the smallest value. D. The largest value of the data

Answers

Answer:c

Step-by-step explanation:the difference between the largest and smallest is the range ...all the possible answers would be included in the range

The answer would be the letter C

i need help on this.

Answers

the value of x is: -9/2

Mr. Harrison spent a total of $3510 on plane tickets for a family vacation. If each plane ticket cost $585, how many plane tickets did Mr. Harrison purchase?

Answers

6 plane tickets ! hope this helps !

What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.

Answers

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

In the picture lines AB and CD are parallel. Find the measures of ∠ECF.

Answers

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.

Write an equation of the graph in slope-intercept form.


A. y=-100/3x+450

B. y=100/3x-450

C. y=450x+100/3

Answers

Answer:

omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs

Step-by-step explanation:

Answer:

Option A. y=-100/3x+450 is correct.

Step-by-step explanation:

does anyone know this

Answers

Answer:

A

Step-by-step explanation:

when you open the brackets you do 5 to the power of 5 and X to the power of 5

The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?

A. 15: 12

B. 30: 18

C. 15: 9

D. 20: 12

Group of answer choices

C

A

B

D
MATH
7TH GRADE

Answers

Answer:

A

Step-by-step explanation:

30:18 /6 =5/3

15:9 /3 =5/3

20:12 /2 =5/3

Answer:

free points

Step-by-step explanation:

thanks sis

I need your help with my hw!

Answers

Answer:

-4

Step-by-step explanation:

f(x) = 3(x) so....

3(-2) + 2

-6 + 2

-4

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Plug in what you know so: 45+15(6-1)

So, following the order of operations, you do the parentheses first so: 45+15(5)

Then, still following the order of operations, you'd multiply from left to right. So: 45+75

Then, you add from left to right, so you get 45+75=120

Your answer is 120.

How many solutions does the equation 4x +2(x-5)=3(2x-4) have?

Answers

Answer:

no solutions

Step-by-step explanation:

Given

4x + 2(x - 5) = 3(2x - 4) ← distribute parenthesis on both sides

4x + 2x - 10 = 6x - 12

6x - 10 = 6x - 12 ( add 10 to both sides )

6x = 6x - 2 ( subtract 6x from both sides )

0 = - 2 ← not possible

This indicates the equation has no solution

Can someone help me with this I really need help

Answers

Answer:

B.) x > -1 and x ≤ 4

Step-by-step explanation:

Hope this helps!

Yeh answer is b......

Differentiate the function.
h(x) = e^x^9+In(x)

Answers

Answer:

h'(x)= [tex]e^{x^{9}+In(x) } (9x^{8} +\frac{1}{x} )[/tex]

Step-by-step explanation:

h(x)=[tex]e^{x^{9} +In(x)}[/tex]

first, we will use the chain rule

step1: we divide the function into two parts So,

f(x)=[tex]e^{x^{9} +In(x)}[/tex]   and  g(x)=[tex]x^{9} +In(x)[/tex]

step2: rewrite [tex]x^{9} +In(x)[/tex] as u.

f(x)=[tex]e^{u}[/tex]    and   g(x)=u

step3: differentiate f(x) first.

f'(x)=[tex]e^{u}[/tex]   (the formula is y=[tex]e^{x}[/tex] and y'=[tex]e^{x}[/tex] - the same)

step4: write the value of u for each function but now sub it in the differentiable form of f(x).

f'(x)=[tex]e^{x^{9}+In(x) }[/tex]  and g(x)=[tex]x^{9}+In(x)[/tex]

step5: differentiate the function g(x).

g'(x)=[tex]9x^{8} +\frac{1}{x}[/tex]

(for [tex]x^{9}[/tex] the formula is y=[tex]x^{n}[/tex] and y'=[tex]nx^{n-1}[/tex] ) (for In(x) the formula is y=In(x)  and y'=[tex]\frac{1}{x}[/tex] )

step6: use the chain rule to finish out So,

h'(x)=f'(x) × g'(x)

=[tex]e^{x^{9}+In(x) }[/tex] × [tex]9x^{8}+\frac{1}{x}[/tex]

step7: simplify.

h'(x)= [tex]e^{x^{9} +In(x)}(9x^{8}+\frac{1}{x})[/tex]

the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?

Answers

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

The second term of the sequence 3n²/2 is 6.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

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need help!! 40 points !!

The triangles shown below must be congruent.

Answers

Answer:

The question asks if they must be congruent, so the answer is false

Step-by-step explanation:

All the angles are equal

47 = 47

62=62

71=71

The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent.  We need to have one of the sides be equal for the triangles to be congruent.

The question asks if they must be congruent, so the answer is false

Answer:

FALSE

Step-by-step explanation:

ap3x

PLEASE HELP. Select the two roots of (3x+7)(2x-5)=0

Answers

Answer:

-7/3 & 5/2

Step-by-step explanation:

3x +7 = 0

3x = -7

x = -7/3

2x-5=0

2x = 5

X = 5/2

Approximate the value of the positive square root of 110 to the nearest hundredth

Answers

The approximate value of the positive square root of 110 to the nearest hundredth is: 10.48

g(x) = -4(x + 3)(4x - 2)

Answers

X1=-3 X2=1/2 i think that’s the answer


Joe is making a recipe that calls for 4 teaspoon of cinnamon. His only measuring spoon only holds 8 teaspoon. How many times will he need to fill his
measuring spoon to get enough cinnamon for the recipe?

Answers

Answer:

1/2

Step-by-step explanation:

because he will need to fill the 8 teaspoon half way


Is this a function? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

find three points that solve the equation then plot on the graph -x-2y=8

Answers

i gotchu: (-8,0) (0,-4) (4,-6)

Answer:

(-8,0) (0,-4) (4,-6)

Step-by-step explanation:

A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program

Answers

Answer:

The desired range is from 141 bpm to 157 bpm

Step-by-step explanation:

Given that the maximum heart rate = 175 bpm.

She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.

So, the lower limit of the desired heart rate = 80% of the maximum heart rate

=\frac{80}{100}\times 175= 140 bpm

and the upper limit of the desired heart rate = 90% of the maximum heart rate

=\frac{90}{100}\times 175= 157.5 bpm

So, mathematically, the desired range is between 140 bpm and 157.5 bpm.

The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.

Hence, the desired range is from 141 bpm to 157 bpm.

m= -(4+ m) + 2
m=
what’s m?

Answers

Answer:

m = -1

Step-by-step explanation:

m= -(4+ m) + 2

Distribute

m = -4-m+2

m = -2-m

Add m to each side

m+m = -2-m+m

2m = -2

2m/2 = -2/2

m = -1

During a lunch period, a survey is done about the students at LCHS with the following results:
1 out of 28 students are wearing a blue t-shirt
1 out of 2 students are girls
1 out of 3 students has a class in C Hall
1 out of 14 students are in band
What are the chances (probability) of randomly selecting a female band member wearing a blue t-shirt who has a class in C hall? Show work.

Answers

Answer:

1 in 47.

Step-by-step explanation:

Add all of the outcomes (28 + 2 + 3 + 14).

You'll get 47.

Do not add the 1s.

There is your answer.

1 in 47.

Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?

Choose the equation to represent this situation.

Group of answer choices

Answers

Since she charges a flat fee of 10 what she made from babysitting would be 30 dollars and if you divide 30 dollars by 5 it would calculate to 6 hours of babysitting.

which of the equation is graphed below

A.) y=1/4x+1
B.) y=-1/4x+1
C.) y=4x+1
D.) y=-4x+1​

Answers

A, because 1/4 is your slope of the line. which means you find a point where the line intersects and count 1 up and four over to the right and should end up where the line touches the graph again. if it were to be -1/4 it would be opposite and the line would be going the other way. and 1 would be your y-intercept. this is where the line crosses over the y axis at 1! hope you found this helpful!

х+5y = 3
3х - 2y = -8

Answers

X equals -2 and y equals 1
Solve for X: x+5y=3

Subtract 5y from both sides: x=3−5y

Substitute
x=3−5y into 3x−2y=−8

Start with the original equation: 3x−2y=−8

Let x=3−5y: 3(3−5y)−2y=−8

Simplify: 9−17y=−8

Solve for y in 9−17y=−8: y=1

Substitute y=1 into , x=3−5y : x=-2


X=-2
Y=1

The parallel lines have ---------------- slope.

A. negative reciprocal
B. complementary
C. equivalent
D. opposite

Answers

Answer:

equivalent

Step-by-step explanation:

equivalent because they have to be the same and not intersecting with eachother♡ Hope it helps ;)

C because they have to be equivalent to be parallel
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