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OverLord2011 [107]
3 years ago
14

What are the square roots of 100? Check all that apply.

Mathematics
2 answers:
Helga [31]3 years ago
6 0
There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)
hoa [83]3 years ago
5 0

Answer:

Option C,D,F- The square root of 100 is 10,-10,|10|.

Step-by-step explanation:

To find : What are the square roots of 100?

Solution :

Now, we take square of each option to find the square root of 100.

A. 5

Square of 5

(5^2)=25

No

B. 10.5

Square of 10.5

(10.5^2)=110.25

No

C. -10

Square of -10

(-10^2)=100

Yes

D. 10

Square of 10

(10^2)=100

Yes

E. -5

Square of -5

(-5^2)=25

No

F. |10|

Square of |10|

(|10|^2)=100

Yes

Therefore, The square root of 100 is 10,-10,|10|.

So, Option C,D,F are correct.

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x+2=\sqrt{3x+10} 1.) What is the solution to the equation? 2.) What is the extraneous solution? Why? 3.) In general, what is an
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Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

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