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Simplify the expression by rewriting it as a complex number in the standard form a+bi

Drag The Labels To The Correct Locations. Each Label Can Be Used More Than Once, But Not All Labels Will

Answers

Answer 1

Given:

The expression is

[tex]\sqrt{64}+\sqrt{-144}[/tex]

Rewriting it as a complex number in the standard form a+bi.

To find:

The missing values in the given simplification.

Solution:

We have,

[tex]\sqrt{64}+\sqrt{-144}[/tex]

It can be written as

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex]   [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]

[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]

Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.

Answer 2

Answer:

Sample Answer for Edmentum

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Step-by-step explanation:

Drag The Labels To The Correct Locations. Each Label Can Be Used More Than Once, But Not All Labels Will

Related Questions

A band expects to put 16 songs on their next CD. The band writes and records 37.5​% more songs than they expect to put on the CD. During the editing​ process, 50​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

answer:

- this is multi-step problem

16 X 1.375 = 22 songs (37.5% was added)

22 X .5 = 11 songs (50% was removed)

final answer: 11 songs.

Dont have to graph it, just tell me the answers, I kinda need this now :v

Answers

Answer:

3/4(n)+1

3/4(8)+1=

6+1=7

3/4(12)+1=

9+1=10

3/4(14)+1=

10.5+1=11.5

3/4(20)+1=

15+1=16

I hope this helps:

At a multi screen movie theater two movies begin at 10 AM the first movie is shown every two hours the second movie is on every three hours what time will both movies be shown together again

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

Answers

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

evaluate.
[tex] - \sqrt{81} [/tex]
.......

Answers

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

Answer: 129

Step-by-step explanation: 43•3=129

I need help I'm in 6th grade I use to have all f but I changed it into a,b,c can someone plss help so I don't fail

Answers

Answer:

um what

Step-by-step explanation:

Write the ratio 3/9 4/9 in simplest form

Answers

Answer:

3/9 is 1/3 but 4/9 is already simplified :D

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

15 POINTSSS
An = 15 +3 (n-1)
term # l value of An
1 l ______
5 l ______
10 l ______
20 l ______
complete the table for each given sequence.

Answers

15
27
42
72

Plug in the number for “n” then solve: minus 1 times 3 then plus 15

Please help me guys

2+2

Answers

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

Which of the following graphs represents a function?

Answers

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

which is an equation for the line shown?
y=3
x=3
y=-3
x=-3

Answers

Answer:

x+-3

Step-by-step explanation:

I need help quick please!!!!

Answers

Answer:

1 is false

2 is blueprints

Step-by-step explanation:


Are these triangles similar?

Answers

pretty sure its no, the number on the outside arent the same meaning both areas wont add up.

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Kelsey can buy 3 sweatshirts for a total of $30. How much would it cost if she were to buy 4 sweatshirts at the same price?

Answers

Answer:

$40

Step-by-step explanation:

30 divided by 3 is 10 so 4 multiplied by 10 is $40

DeAndre bench pressed 300 pounds yesterday. Today, he was weak sauce and could only bench press 175 pounds. By what percent did the weights decrease? *
10 points

Answers

Answer:

75%

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!

Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

the answer is c sorry

Step-by-step explanation:

PLEASEHELP!


ANSWER CHOICES:
A)189
B)329
C)161
D)84

Answers

Answer:

329

Step-by-step explanation:

Why is it impossible for m

Answers

Answer:

? What M? What is impossible?

Convert -3 2/7 into an improper fraction.​

Answers

Answer: -23/7

Step-by-step explanation:

- 23/7 is the answer!

Find the zeros for 2x2−24=26. What is the positive value of x?

Answers

Answer:

i think it is 12

Step-by-step explanation:

Identify the slope and y- intercept y=2x + 2

Answers

Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

A line with slpoe 3 passes through the point (0.10). What is the y-coordinate of the point on the line with x-coordinate 2

Answers

Answer:

When x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given

The point (0, 10)

The slope m = 3

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We have given the point (0, 10)

It means:

at x = 0, y = 1 0

Therefore, the y-intercept b = 10

so substituting b = 10 and m = 3 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y = 3x+10[/tex]

Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:

[tex]y = 3x+10[/tex]

Now, substituting x = 2 in the equation

[tex]y = 3x+10[/tex]

y = 3(2) + 10

y = 6+10

y = 16

Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Factor 24x – 18 using the GCF​

Answers

Answer:

24x – 18

6(4x-3)is required factor.

What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)

Answers

Answer: Choice D

[tex](-\infty, -2) \cup [4, \infty)[/tex]

=====================================================

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying [tex]-\infty < x < -2[/tex]

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

4(b-3)=6 put the steps in Oder to solve the equation from first to last

Answers

Answer:

B= 9/2 Hope this helped

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

The value of b in the expression 4(b - 3) = 6 is 4.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 4(b - 3) = 6 and we have to solve for b.

4(b - 3) = 6.

4b - 12 = 6.                              (distributive law a(b+c) = ab + ac).

4b = 6 + 12.           (constants change sign when moved to the other sides).

4b = 16.

b = 16/4.

b = 4.

learn more about numerical expression here :

https://brainly.com/question/29199574

#SPJ2

(x - 3)2 + (y + 7)2 = 121 what's the radius

Answers

Answer:

[tex]r=11[/tex]

Step-by-step explanation:

The equation of a circle is commonly denoted as:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.

This equation is already written in that format, therefore:

[tex]r^2=121,\\r=\fbox{$11$}[/tex],

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