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mrs_skeptik [129]
3 years ago
8

Which choice is equivalent to the fraction below? (Hint: Rationalize the denominator and simplify.) I NEED HELP HELP PLEASE PLEA

SE HELP HELP PLEASE HELP ME PLEASE PLEASE HELP PLEASE PLEASE ASAP PLEASE PLEASE THANK

Mathematics
2 answers:
nadya68 [22]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

The given fraction \frac{2}{\sqrt{x}\sqrt{x+2}} is to be simplified.

For the simplification of the given fraction we will rationalize the denominator. By multiplying (\sqrt{x}\sqrt{x+2}) in numerator as well as denominator both, denominator can be rationalized.

\frac{2(\sqrt{x}-\sqrt{x+2})}{(\sqrt{x}+\sqrt{x+2})(\sqrt{x}-\sqrt{x+2})}

= \frac{2(\sqrt{x}-\sqrt{x+2})}{(\sqrt{x})^{2}-(\sqrt{x+2})^{2} }

[ Since ( a+b) (a-b) = a² - b² ]

\frac{2(\sqrt{x}-\sqrt{x+2)}}{x-(x+2)}=\frac{(2\sqrt{x}-\sqrt{x+2)}}{(-2)}

= -(\sqrt{x}-\sqrt{x+2}=\sqrt{x+2}-\sqrt{x}

Option A. is the answer.

sladkih [1.3K]3 years ago
3 0

Answer:

A: \sqrt{x + 2} - \sqrt{x}

^.^

- Amanda

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Given: m<FSH = (5x-8)°, m<NSF=(9x-12)° and m<NSH=(10x+20)°.
Ivan

Answer:

The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°

Step-by-step explanation:

Data

∠ FSH = 5x - 8

∠NSF = 9x - 12

∠NSH = 10x + 20

Process

1.- Write a equation to solve this problem

          ∠NSH = ∠NSF + ∠FSH

2.- Substitute values

         10x + 20 = 9x - 12 + 5x - 8

3.- Solve for x

         10 x - 9x - 5x = - 12 - 8 - 20

         10x - 14x = - 12 - 28

                 - 4x = - 40

                     x = -40 / -4

                    x = 10

4.- Find the measure of all three angles

    ∠FSH = 5(10) - 8

               = 50 - 8

               = 42°

    ∠NSF = 9x - 12

               = 9(10) - 12

               = 90 - 12

               = 78°

∠NSH = 10(10) + 20

          = 100 + 20

          = 120°

5.- Check the answers

              120°   = 78°  + 42°

              120° = 120°

The answers are correct

8 0
3 years ago
85001 round to the nearest ten thousand
sveticcg [70]
95000 Is rounded to the nearest ten thousands
7 0
4 years ago
Read 2 more answers
HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL
vodka [1.7K]
Equation 1)  -x - y - z = -8
Equation 2)  -4x + 4y + 5z = 7
Equation 3)  2x + 2z = 4

Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)

Multiply ALL of equation 1 by four.

1)  4(-x - y - z = -8)

Simplify.

1)  -4x - 4y - 4z = -32

Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.

1)  -4x - 4y - 4z = -32
2)  -4x + 4y + 5z = 7

Add these equations together, and create a fourth equation.

4)  -8x - z = -25

Now, notice how both equations 3 & 4 have the same two variables (x, z).

So, we must look at these equations together.

3)  2x + 2z = 4
4)  -8x - z = -25

Multiply ALL of equation 4 by 2.

4)  2(-8x - z = -25)

Simplify.

4)  -16x - 2z =-50
3)  2x + 2z = 4

Now, add the equations together, so that we can solve for x.

-14x = -42

Divide both sides by -14.

x = 3

Now, plug in 3 for x into our 3rd equation.

3)  2x + 2z = 4

3)  2(3) + 2z = 4

Simplify.

6 + 2z = 4

Subtract 6 from both sides.

2z = 4 - 6

Simplify.

2z = -2

Divide both sides by 2.

z = -1

Now, plug in -1 for z & 3 for x in our 1st equation.

1)  -x - y - z = -8

-(3) - y - (-1) = -8

Simplify.

-3 - y + 1 = -8

Simplify.

-2 - y = -8

Add 2 to both sides.

-y = -8 + 2

Simplify.

-y = -6

Divide both sides by -1.

y = 6

SO :

x = 3, y = 6, z = -1

~Hope I helped!~
5 0
3 years ago
Omg please help me!!!
marin [14]

area = pi * r^2

here, the radius is 2 as its the diameter/2.

so the area is 4pi.

circumference = 2*pi*r.

so the circumference is 4pi as well.

4 0
2 years ago
3–4+10+2q simplified
nlexa [21]
The answer is negative 3
4 0
4 years ago
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