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Nitella [24]
2 years ago
15

Please help me answer the question in the image

Mathematics
2 answers:
Julli [10]2 years ago
6 0

Hey there!

Answer: \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}

<em><u>Solving steps:-</u></em>

\rightarrow\sf{\frac{ {2x}^{2}  + 8x}{ {x}^{2}  + 6x + 8} }

\rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2}  + 4x +2x +  8} }

\rightarrow\sf{\frac{ 2x(x + 4)}{ x  (x + 4) +2(x +  4)} }

\rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{  \sout{(x + 4)} (x +  2)} }

\rightarrow\sf{\frac{ 2x}{   (x +  2)} }

~Done~

Gnesinka [82]2 years ago
3 0

Answer:

2x/x+2

Step-by-step explanation:

Factor out 2x in the numerator

Then you get: 2x(x+4)

Factor the denominator

Two numbers that multiply to 8 and add to 6(2 and 4)

So you get: (x+2)(x+4)

Now you have: (2x(x+4))/(x+2)(x+4)

Simplify by cancelling the x+4

2x/x+2

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Elenna [48]
Roots can be written as fraction exponents. An exponent of 1/2 means the square root.

(12 x^{4})^{1/2} =  \sqrt{12 x^{4} }  \\  \\ \sqrt{12 x^{4} } =  \sqrt{3*4*x^{2}*x^{2}} = 2x^{2} \sqrt{3}
8 0
3 years ago
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work
valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

5 0
2 years ago
What us the volume of this?
ExtremeBDS [4]
Break down the figure into 2 parts. Then use volume formula and multiply.
V=lwh
V=3x3x2
V=18ft^2

V=lwh
V=2x2x3
V=12ft^2
Then simply add.
  18
+12
-------
  30
5 0
3 years ago
Read 2 more answers
If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.
anastassius [24]
Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length
7 0
2 years ago
What’s the value of (-0.001)(100)(-0.01)(-10)
FinnZ [79.3K]

Answer:

-0.01

Step-by-step explanation:

3 0
2 years ago
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