if n < 0
√(n^2) = ???
thank youuuuu

Answers

Answer 1

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n


Related Questions

Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflection of L across the x-axis. The fire station is located at L′′, a reflection of L′ across the y-axis. Identify the ordered pair that describes the location of the fire station. Express your answer using decimal notation.

(__,__)

Answers

Answer:

(1.75, 3)

Step-by-step explanation:

Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).

This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and  the x coordinate changes sign, going to it's final destination (1,75, 3)

ANSWER:
(1.75, 3)

First, we have to flip (-1.75,-3) over the x-axis, which’ll leave us with (-1.75,3). Then we flip that point over the y-axis, which gives us (1.75, 3).
Just incase you have trouble doing reflections here’s the rules:

reflections over the x axis: (x,y)—>(x,-y)
reflections over the y-axis: (x,y)—>(-x,y)
reflections across y=x: (x,y)—>(y,x)
reflections across y=-x: (x,y)—>(-y,-x)

Finds the value of x

Answers

Answer:

2 x or 3x

Step-by-step explanation:

because is have x

Answer:

x = 30

Step-by-step explanation:

The sum of the exterior angle and interior angle of a polygon = 180°

Then the 2 unknown interior angles are

180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x

The sum of the 4 interior angles of a quadrilateral = 360°

sum the 4 interior angles and equate to 360

2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is

- x + 390 = 360 ( subtract 390 from both sides )

- x = - 30 ( multiply both sides by - 1 )

x = 30

Megan rolls a ball down a ramp until the ball hits the wall.

Answers

cool the answer is y because she spend that

A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?

Answers

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

Please help mee …………..

Answers

Answer: i think its A

Step-by-step explanation:

Let's say that a is 8, b is 17, and c is x,

Maximum:

a + b > c  

8 + 17 >c  

c < 25

Minimum:

b + c > a  

17 + c > 8  

c > -9

(As it cannot be negative, we will call this 9.)

So, our answer is D as c, x, must be less than 25 and greater than 9.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

workout the perimeter of this shape 3cm 5cm 2cm 6cm

Answers

Answer:

Perimeter is 16 cm

Step-by-step explanation:

3+5+2+6=16

im assuming the amounts given are the side lengths

16 you add them all together because there all the same units

question 8
what does the following expression equal when y = 3
2 x (y - 5)

Answers

Answer:

-4

Step-by-step explanation:

3 - 5 = -2

2 x -2 = -4

Remember BIDMAS (adding this because of character limit)

PLEASE HELP will give 40 points

Answers

Answer:

Here are your 3 answers!  Hope this helps please mark brainliest! Thanks :)

Step-by-step explanation:

11. X=10

12.X=-9

13.X=7

Answer:

The first one x = 10.

The second one x = -9

The third one x = 7

Step-by-step explanation:

if f(x)=3x+7, find: f(-2)= [?]

Answers

Answer:

1

Step-by-step explanation:

substitute -2 for x

3(-2) + 7

-6 + 7

1

hope it helps :)

mark brainliest!!

4x+5y=20 need help solving x and y intercept plotting

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

Juan rolls a number cube 40 times, he rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?

Answers

Answer: 6/40 = 3/20

Step-by-step explanation:

The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:

P= Time the event occurs/ Total number of trials

In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40

because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6

because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

premium: 165 gallonswater: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

(6.-1);y=-5x+3
slope intercept form

Answers

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

How to lnow the numberof turning points in a function.

Answers

Answer:

The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).

The population of a place was 56000. Next 5 years it is expected to rise by 50%. What will be the population in next 5 years?

Answers

Answer:

84000 people

Step-by-step explanation:

So next 5 year wil be 56000 + 50%

56000 = 100%

50% = 56000 / 2

50% = 28000

56000 + 28000 = 84000

How to integrate absolute value.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

2^-5 =
Can someone please help

Answers

Answer:

[tex]\frac{1}{32}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]

If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?

Answers

5 times

6 sided die, and you have to roll a one
It’s a 1/6 chance

1/6 out of 30 is 5

Which of the following lines has a negative slope?
Is it Red
Is it Black
Is it Blue

Answers

Answer:

black line <3

Step-by-step explanation:

the slope is -2 :)

A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.

I hope this helps! :)

help with this question

Answers

Answer:

Step-by-step explanation:

what is 23 in binary​

Answers

Answer:

vanadium

Step-by-step explanation:

Answer:

10111

Step-by-step explanation:

may it will help you

Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

Write the steps you follow when you want to graph an equation y=2x +3.
Step 1;......

Step 2:.....

Step 3:.....

Answers

Answer:

1.Pick the point x= 0, y=3 as your starting point.

2. write the slope as a fraction, in this case 2/1. Move up as many times the numerator says (2), and forward as many times the denominator says (1). If either is negative, you move the opposite direction.

3. You got a second point. Put a ruler between them - or any straight edge - and draw the line.

solve the equation.

[tex]\sqrt{x(x+2)} = 0[/tex]

Answers

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

I need with this please! It due tonight.

Answers

Answer:

x = 17

Step-by-step explanation:

1. First, we should know that all angles in any triangle add up to 180°.

This means that x + 17 + 6x + 10 + 4x - 34 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](x+6x+4x)+(17+10-34)=180[/tex] [tex]11x -7 = 180[/tex]

Step 2: Add 7 to both sides.

[tex]11x - 7 + 7 = 180 + 7[/tex] [tex]11x = 187[/tex]

Step 3: Divide both sides by 11.

[tex]\frac{11x}{11} =\frac{187}{11}[/tex] [tex]x = 17[/tex]

Step 4: Check if solution is correct.

[tex](17)+17+6(17)+10+4(17)-34=180[/tex] [tex]17 + 17 + 102 + 10 + 68 - 34 = 180[/tex] [tex]214 - 34 = 180[/tex] [tex]180 = 180[/tex]

Therefore, x = 17.

Answer:

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

[tex]6x+x+4x+17+10-34=180[/tex]

[tex]11x-7=180[/tex]

[tex]11x=187[/tex]

[tex]\frac{11x}{11} =\frac{187}{11}[/tex]

[tex]x=17[/tex]

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Step-by-step explanation:

The correct answer is 30 pages.
Since she reads 100 words per minute and there are 400 words on a page, divide 100 by 400 and you’ll get 4, so it takes her 4 minutes to read one page. Convert 2 hours to minutes by multiplying 60 by 2 and get 120 minutes. Then divide 4 by 120 to get 30.

what is the value of x that makes this equation true 3/4 + x = 1/8

Answers

The correct value of ''n'' in this equation will be -5/8.

Step-by-step explanation:

To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.

But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.

Resolution:

[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]

[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]

[tex]\large \sf x= \dfrac{1-6}{8}[/tex]

[tex]\large \sf x= \dfrac{-5}{8}[/tex]

[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]

So we can conclude that the value of ''x'' in this equation will be -5/8.

Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?

Answers

The cost per minute is an illustration of proportionality constant.

The cost per minute is of running Alecia's air conditioner is $0.01

The cost function is given as:

[tex]\mathbf{C(m) = 0.01m}[/tex]

Where C represents the cost, and m represents the number of minutes

A proportional relationship is represented as:

[tex]\mathbf{y =kx}[/tex]

Where k represents the constant of proportion.

So, by comparison:

[tex]\mathbf{k = 0.01}[/tex]

In this case, the proportionality constant is the same as the cost per minute.

Hence, the cost per minute is $0.01

Read more about proportionality constant at:

https://brainly.com/question/18707816

What’s that answer please

Answers

it is an isosceles triangle :)

One number is 3 times another. If the difference between the numbers is 14, what is the larger number?

Answers

Answer:

21

Step-by-step explanation:

Create an equation: 3n - n = 14

Solve: 3n - n = 14

          2n = 14

           n = 7

Larger number: 3(7) = 21

Answer:

The numbers are 7 and 21.

Step-by-step explanation:

The difference is 14 and 7*3= 21

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