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

Which of the following lists of ordered pairs is a function?
A. (0,4),(1,2).(1,0). (2,3)
B. (1,7).(2,5),(3,6), (4,1)
C. (3,-2).(2-1).(3,4),(4,7)
D. (2,5), (3,8). (4, 11),(4,12)​

Answers

Answer:

B

Step-by-step explanation:

When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.

Hope this helps!!

can someone help me solve this problem? (photo) ​

Answers

Answer:

[tex] - \sqrt{ - (2 \times 2 \times 2 \times 2 \times 3)} [/tex]

[tex]4 \sqrt{ - 3} [/tex]

hope it's helps

answer is B)-4root3

Answer:

[tex]-4i\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

[tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]

[tex]-\sqrt{-48} =-\sqrt{-1} \sqrt{48} =-i\sqrt{16} \sqrt{3} =-4i\sqrt{3}[/tex]

12×6×2+10×6×2+12×10×2​

Answers

Answer:

504

Step-by-step explanation:

The answer is 504.

Thank me later

given m || n, find the value of x and y.

Answers

Answer: x = 56  and y= 56

Step-by-step explanation: 124 + 124 = 248  

360 - 248 = 112

112 divided by 2 = 56

What does "for example" tell readers about the sentence it introduces?
1. that they're about to be introduced to a new idea
2. that it's a sentence that will show them a similarity
3. that it's sentence will show them a difference
4. that they're about to hear an example of the idea in the previous sentence

Answers

Answer:

The answer is option 4., but this question does not belong in the math section.

which of these have a these has a sum of 15/6

35/9 + 35/5 or 15/2 + 15/4 or 3/8 + 34/16 or 2/3 + 1/16

Answers

3/8 + 34/16

15/6 can be simplified to 2 1/2

The answer for 3/8 + 34/16 can be simplified to 2 1/2

Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads? Why or why​ not? What does the law of large numbers tell you about the results you are likely to​ get?.

Answers

Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova

Answers

Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.

Select the interval where h(c) < 0.
A) -3 B)2 C)4

Answers

Answer:

Option C: 4

Hope this helps!



if the sum of two numbers is 15 and their difference is 7 what is the answer

Answers

the answer should 11 and 4. 11-4=7 but 11+4=15

Answer:

11 and 4 are the numbers you add to gether and they have a difference of 7

Step-by-step explanation:

Like and give 5 star rating

In the figure, m<2=64. What is the measure of <1?

Answers

Answer:

b

Step-by-step explanation:

I had that question before

Express y²-16y+k as a perfect square.​

Answers

Answer:

(y-4)(y+4)

Step-by-step explanation:

When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)

evaluate 1000 x 1.2
help asap!!

Answers

Answer:

1200

hello i love to help

Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7

Answers

22.7 with repeated 7

Determine whether 5^25m^2 • 5^25m is equivalent to each of the following expressions.
I’ll give brainliest

Answers

Answer:

None of the listed expressions

Step-by-step explanation:

Using the Product Law of Exponents, we can simplify 5^25m^2 • 5^25m into 5^(25m^2 + 25m).

Simplify:

5^25m(m + 1)

In this case, none of the following responses are equivalent. The first two are incorrect because you can't add variables that are set to different powers and the last one is incorrect because if you wanted to change the base from 5 to 25, you would divide the exponent by 2 instead of take the square root.

Answer:

Step-by-step explanation:

f(x)=5x-2 find the slope of f​

Answers

Answer:

Slope = 5

Step-by-step explanation:

Standard slope intercept form: y = mx + b

where m = slope of the function

so m = 5

Hope this helps!

What is the probability of getting 6 as a product explanation and calculation

Answers

For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}

6

1

.

Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).

Using the rule of product, this is:

\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}

6

1

×

6

1

=

36

1

.

A polynomial that has two terms is a(n) ?.

Answers

Answer: Binomial

Monomial= 1 term

Binomial= 2 terms

Trinomial=3 terms

Polynomial= 4 terms or more

A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?

Answers

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

√(7+√(24))÷2+√(7−√(24))÷2​

Answers

Answer:

The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....

Step-by-step explanation: Hope this will help you! :D

.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55

Answers

Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

2) What is the inequality that this graph represents? -15 # 3 6 x​

Answers

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

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

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

It takes Billy 40 minutes to drive to his friend's house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friend's house. How far does his friend live?

Answers

Answer:

20 miles

Step-by-step explanation:

Which of the following could be a value for a bearing, written in the correct
format?
07°
0007°
007°


Answers

Answer:007

Step-by-step explanation:Bearings are a measure of direction, with North taken as a reference.

If you are travelling North, your bearing is 000°, and this is usually represented as straight up on the page.

If you are travelling in any other direction, your bearing is measure clockwise from North.

What does substitute mean logarithms.

Answers

Answer:

Substitution means putting numbers in place of letters to calculate the value of an expression.

Step-by-step explanation:

a lake has an area of 63800000000 square meters.

write this area in square kilometers, correct to 2 significant figures​

Answers

Answer:

64,000 (2 s.f)

Step-by-step explanation:

1 km is 1000 metres

so, 1 km² = 1000 x 1000 m²

i.e. 1 km² = 1,000,000 m²

=> 63,800,000,000/1,000,000 = 63,800

The second significant figure is 3 --> 3000

so, to the nearest 1000 we have 64,000 (2 s.f)

Hope it help and if it is correct please give brainliest

Thank You

Question 8 of 10
What is the length of PR?

A. 9
B. 63
C. 11
D. 7

Answers

Answer:

b

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

got it right on the quiz.

Brainliest?

someone please help me

Answers

Answer:

  (a)  A is steeper; 4/5 > 2/5

Step-by-step explanation:

The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.

The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...

  slope = rise/run = 2/5

This eliminates choice C.

The correct description of the relationship is the first one:

  Equation A has a steeper slope, because 4/5 is greater than 2/5.

A painter charges $15.80 per hour, plus an additional amount for the supplies. If he made $190.89 on a job where he worked 7 hours, how much did the supplies cost?
A.
$110.60
B.
$80.29
C.
$90.29
D.
$27.27

Answers

Answer:

B

Step-by-step explanation:

First find out how much he made without the supplies. To do this you would multiply $15.80 by the 7 hours he worked. This gives you 110.60. Then subtract 110.60 from the 190.89 the job cost. You would then overall get 80.29 for the supplies

Evaluate 62 - (12 – 2) when I = 3.
-
O A. 4
O B. O
O C. 3
O D. 12
Pls help guys !

Answers

Answer:

A. 4

Step-by-step explanation:

12 - 3 is 9

6^2 is 36

36/9 is 4

It’s 4 just trust me
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