Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.

Answers

Answer 1

Answer:

The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.

Answer 2

Sample Answer:  Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.


Related Questions

En la inaguracion de unos juegos olimpicos, los 38 representantes de una nacion quieren desfilar formando columnas de 6¿es posible?¿de que modo podria desfilar formando columnas iguales?

Answers

Answer:

a) No

b) Sí

Step-by-step explanation:

a) En la inauguración de unos Juegos Olímpicos, los 38 representantes de una nación quieren desfilar en columnas de 6, ¿es posible?

Esto se calcula como

38 representantes / 6 columnas

= 6 2/6 = 6 1/3 columnas

No, no es posible, tendríamos 7 columnas con 6 columnas con representantes iguales de 6 y la séptima columna tendría solo 2 representantes allí

b) ¿Cómo podrían desfilar en columnas iguales?

Sí pueden

Esto se calcula como 38 representantes ÷ 2

= 19 columnas

Podemos tener 19 columnas con 2 representantes cada una

What kind of sequence is this? (Need an answer fast lol.)​

Answers

i dont know anymore

ok it was arithmetic

Answer:

arithmetic

Step-by-step explanation:

because this number is increasing by 7 in each


[tex]why \: \: do \: we \: need \: food \: \: \: \: {?} [/tex]

Answers

Answer:

to survive

Step-by-step explanation:

if you don't eat you are gonna died➡

Joshua drove his car a distance of 449.6 miles, and it required 12.9 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?

Answers

Answer:

6.75L of fuel are needed

Step-by-step explanation:

To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:

km -1km = 0.621371miles-

449.6miles * (1km / 0.621371 miles) = 723.56km

L -1L = 0.264172gal-

12.9gal * (1L / 0.264172gal) = 48.83L

km/L:

723.56km / 48.83L= 14.82km/L

The liters the car takes to go 100km are:

100km * (1L / 14.82km) = 6.75L of fuel are needed

Pls help there’s the info above

Answers

Answer:

    When you're given a line, you can find the rise over the run also known as the slope using a graph, calculating it using the formula, or using a table with two points you've been given from the line. Once you find the slope find the y-intercept which is the point at which the line intercepts with the y-axis of the cartesian plane. I also added some attachments of my own work and an explanation of slope.

Hope I helped have a nice day :)

15 POINTS!
Find the sector area and show work.
Will mark brainliest

Answers

Answer:

42.39 yd²

Step-by-step explanation:

the sector area = (3π/4)/2π × 3.14 × 6²

= 3/8 × 3.14 ×36 = 42.39 yd²

In the figure shown PS = RQ. which theorem can be used to prove Triangle SQR = Triangle QSP?

I'm not sure which answer it is can you help me?​

Answers

Answer:

HL (hypotenuse leg)

Step-by-step explanation:

From the diagram, we have two sides that are congruent

The side QS is common to both triangles

Also, we have it that the side PS and QR are congruent

What this mean is that we have two sides that are already the same

Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles

Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another

I need help i'm struggling with this work

Answers

I believe the correct answer is C I could be wrong tho

Answer:

[tex]y=0.5x+2[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

[tex]f(x)=2x-4[/tex]

Inverse operations,

[tex]f(x)=2x-4[/tex]

[tex]f(x)+4=2x[/tex]

[tex]\frac{f(x)+4}{2}=x[/tex]

Simplify,

[tex]0.5f(x)+2=x[/tex]

Rewrite in inverse function notation,

[tex]f^-^1(x)=0.5x+2[/tex]

[tex]y=0.5x+2[/tex]

NO LINK PLEASE. OR I WILL REPORT YOU.

Answers

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80

haven't had luck with this question in the past and I need help.

Answers

Answer:

pi

Step-by-step explanation:

First find the area of a full circle with radius 2

A = pi r^2

A = pi 2^2

A = 4 pi

We know that this is 1/4 of a circle so take 1/4 of the area

1/4 A = 1/4 (4 pi) = pi

find the ratio in which the point (3,y) divides the line joining the point (9,8) and (-4,-6) hence find the value of y

Answers

Answer:

m1:m2 = 6:7

y = 7 (Approx.)

Step-by-step explanation:

Given:

Dividing point (3, y)

Two points (9 , 8) , (-4 , 6)

Find:

Ratio

Value of y

Computation:

X = [(m1)(x2) + (m2)(x1)] / [m1 + m2]

3 = [(m1)(-4) + (m2)(9)] / [m1 + m2]

3m1 + 3m2 = -4m1 + 9m2

7m1 = 6m2

m1 / m2 = 6 / 7

m1:m2 = 6:7

Y = [(m1)(y2) + (m2)(y1)] / [m1 + m2]

y = [(6)(6) + (7)(8)] / [6 + 7]

y = [36 + 56] / 13

y = 92 / 13

y = 7.07

y = 7 (Approx.)

Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

x = 134

Step-by-step explanation:

Exterior angle = sum of opposite interior angles

                      = 90 + 44 = 134

OR

Sum of angles of triangle = 180

that is,

90 + 44 +y = 180

y = 180 - 134

 y = 46

x + y = 180                [ straight line angles ]

x + 46 = 180

x = 180 - 46 = 134

Answer:

x = 134

Step-by-step explanation:

triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.

a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134

Simplify fully: 8(x+3)^2/2(x+3)

Answers

Answer:

4(x+3)

Step-by-step explanation:

8(x+3)^2/2(x+3)

Rewriting

8(x+3)*(x+3)

------------------

2(x+3)

Canceling like terms

4(x+3)

----------

1

Answer :-

4( x+3)

step-by-step explanation :-

8 ( x + 3 )² /2 ( x + 3 )

Rewrite the equation

[tex] \small \sf \: \frac{8 ( x + 3 )² × ( 2 ( x + 3 )}{2(x + 3)} \\ [/tex]

cancelling like terms

4( x + 3) / 1

4 ( x + 3)

Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.

Answers

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a

Answers

You cannot have infinite solutions.

Twelve is added to 5x and equals - 3. Find the value of x.​

Answers

Answer:

x=3

Step-by-step explanation:

5x + 12 = -3

5x = -15

x= 15/5

x=3

Answer:

5x+12=-3

5x=-15

x=-3

hope this helps

have a good day :)

Step-by-step explanation:

Choose the best choice for the question
below.
20. Which sentence is written correctly?
A. The book or the pen are in the drawer.
B. She and her friend is going to the mall.
C. Mary and her brother wishes that they could go.
D. My father or my mother is giving us a ride to
school.

Answers

Step-by-step explanation:

a and b may be the correct answer

If a^2+b^2=5 and a+b=3, then ab=

Answers

Answer:

  ab = 2

Step-by-step explanation:

You know that ...

  (a +b)^2 = a^2 +2ab +b^2

Rearranging, we can solve for ab ...

  2ab = (a^2 +b^2) -(a +b)^2

  ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2

  ab = 2

FREE
y
A
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the y-
axis?
8
X
0 (-8,-6)
O (-6, 8)
O (86)
O (6.-8)
C
B
Mark this and return
Save and Exit
Next
Submit

Answers

I did this one and it is (-8,-6)

The slope of this line is (-12,10) and (-10,6)

Answers

Answer:

Slope is -2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(6-10) / (-10+12) = (-4)/(2) = -2

Answer: m=-2

Explanation: Use the slope formula to find the slope.

m= the change in y/the change in x
m=(6-10/-10-(-12)), plug in for x and y
m=-2

100 Points
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.

Answers

Answer

-2c+5/6

hope it helps

Helpppp plzzzzz asapppppppppppppppppp

Answers

Answer:

TRUE

Step-by-step explanation:

The Time of day is skip counting by ten each time

EX: 1000-1010-1020-1030-1040- so on

The correct answer to your question is true !!

i need the answerr please!!!!!

Answers

Answer:

D 6

Step-by-step explanation:

The range is the values that y can take

The only value that y can take is 6

Answer:d 6

Step-by-step explanation:

Work out the time taken, in minutes, for a 68km journey at an average speed of 85km/h​

Answers

Answer:

48 minutes

Step-by-step explanation: Time taken is distance divided by speed, so 68/85 is 0.8. 0.8 is equal to 4/5. 4/5 of an hour is 48 minutes.

plzz help I will mark brainliesttttt

Answers

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Evaluate the expression for the given value. 3x(x−2), when x=7 please help just give me the straight answer im failing and my mom will kick me ouit she aubuses me hellllp

Answers

x = 7
3•7(7 - 2)
= 3 • 7 • 5
= 21 • 5
= 105

Hope this helps

[tex]\longrightarrow{\blue{105}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]3x \: (x - 2)[/tex]

Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have

➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]

➺ [tex] \: 3\times 7 \: (5)[/tex]

➺ [tex] \: 3 \times 35[/tex]

➺ [tex] \: 105[/tex]

Note:-

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Please help the question is in the picture.

Answers

Answer:

true because OR is 90°.and and also PR is 90°.

Which equation represents a line that passes through (2, -1/2) and has a slope of
3?

Answers

Answer:

it should be d or c

Step-by-step explanation:

The answer is c
Step by step: y= 3x -19/3
Point-slope form- y+1/3 =3•(x-2)

What is the value of
4/3 divided by 2/5 ?

Answers

Answer: (10/3)

Explanation:

(4/3)/(2/5) = (10/3)
Multiply by reciprocal
And solve

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Other Questions
Put these numbers in order from least to greatest.0.788.70.078 Read Josh's draft.Floating EntertainmentDuring the mid-19th century, before television or movies existed, people enjoyed forms of entertainment that are no longer common today.For example, people who lived in areas along the Mississippi River that were far from large cities depended on showboats. Showboats were boatson which plays were performedAn actor named William Chapman was the first person to build a showboat. He called his showboat the "Floating Theater." Actors lived onthe boat and traveled along the river. The showboat stopped at small towns to perform plays.Showboats were very popular but were discontinued when the Civil War began in 1861. They became popular again in the late 1870s.However, by the early 1900s, many settlements along the Mississippi had grown into larger towns with dance halls and movie theaters. As a result,Mississippi showboats began to lose their appeal. By 1910, people were heading to movie theaters big time.Josh wants to revise his last sentence.Is Josh's decision to revise his last sentence correct?O 1. No, because the information in the sentence provides a strong conclusion,O 2. No, because the information in the sentence is essential to the topic's main idea.O 3Yes, because the sentence includes a factual statement instead of a personal opinion.4. Yes, because the sentence contains slang and differs in style from the rest of the draft.Question #4Language 2-12 CA 2010 Speaking and listening exam topic ideas? about a conspiracy or case A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge ofthe park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular pathalong the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show thatDanny runs about 970 metres less than his usual training session if g(x) = 3x + 7 what is the value of g(-2)? 1- -12- 13- 84- 12 Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims that there are rotations about the center that will carry both a regular hexagon and a regular nonagon (9-sided polygon) onto itself. Determine whether each angle of rotation below can be used to support Nadia's claim. Select Yes or No for each angle of rotation area of the triangle ABC Select the correct answer. A truck moves 60 kilometers east from point A to point B. At point B, it turns back west and stops 15 kilometers away from point A. What are the total distance and total displacement of the truck? A. The total distance is 105 kilometers, and the total displacement is 15 kilometers east. B. The total distance is 105 kilometers, and the total displacement is 45 kilometers east. C. The total distance is 60 kilometers, and the total displacement is 60 kilometers east. D. The total distance is 60 kilometers, and the total displacement is 45 kilometers east. E. The total distance is 105 kilometers, and the total displacement is 75 kilometers east. pls help me i really need help as fast as possible 50 pts!!!!!!!!!! What is the value of x?O 20(x + 40)(3x)RO 35wO 60S070 The product of a and the sum of a and 34? Find WX. Assume that segments which appear to be tangent are tangent. Two lines are intersecting. What is the value of X? And to your answer in the box Whats this i give 13 points Write a paragraph for an expository essay following these steps: Choose one of the following topics and limit it: money literature vacations sports Chosen topic: Limited topic: Now, write a single sentence stating your position about your topic. Thesis sentence: Finally, write a three-part analytical thesis about the preceding topic. Three-part analytical thesis: Use the analytical thesis you devised to write several related topic sentences. Using one of the topic sentences you just wrote, write a paragraph developing that idea as fully as possible, making certain that every idea in the paragraph relates back to the thesis and is placed in a logical, effective place within the paragraph. Use transitions to guide your readers. Environmental pollutants such as PCB's and the pesticide DDT are fat-soluble, non-biodegradable, and contaminate oceans and other aquatic systems. Plankton in the ocean become contaminated by these chemicals and pass them along through the food chain. A pregnant woman has been cautioned to limit her consumption of food that may be high in PCBs. If she consumes food from a nearby contaminated ocean, we would expect that the most contaminated foods would be ___________. The correlation coefficient for practicing violin and getting better grades in a group of people is 0.8. Analyze the following statement:Playing violin causes students to get better grades.Is this a reasonable conclusion? Which fact from the Tinker v. Des Moines court decision best supports thereasoning that the conduct of the student protesters was protected by theFourteenth Amendment, which prohibits deprivation of life, liberty, orproperty? (140-x)/(7)+70 = 120. Please answer correctly. (doesnr let me put 2 pictures) what name length describes the center of the data? (a question to the number line) (i mark brainlist)