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Luda [366]
3 years ago
6

What is the simplified form of the rational expression below 5x2-5/3x2+3x

Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:

(5(x-1))/3x

Step-by-step explanation:

FrozenT [24]3 years ago
5 0

Answer:

\frac{5(x-1)}{3x}

Step-by-step explanation:

The given expression is

\frac{5x^{2} -5}{3x^{2}+3x}

To simplify this rational expression, we need to extract the greatest common factor of each part,

\frac{5x^{2} -5}{3x^{2}+3x}=\frac{5(x^{2}-1) }{3x(x+1)}

Then, we observe that the numerator has a difference of two perfect squares, which can be factored as

a^{2} -b^{2} =(a-b)(a+b)

Where, a=x and b=1

x^{2} -1=(x-1)(x+1)

Now, we applied this to the rational expression

\frac{5x^{2} -5}{3x^{2}+3x}=\frac{5(x^{2}-1) }{3x(x+1)}=\frac{5(x-1)(x+1)}{3x(x+1)}=\frac{5(x-1)}{3x}

Therefore the simplified form of the given expression is

\frac{5(x-1)}{3x}

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Liula [17]
"T is a subset of P"

Not true since triangle has three sides but parallelogram has four sides.

"E is a subset of I"

True since equilateral triangles are isosceles triangles with all angles equal.

"S is a subset of T"

True since scalene triangles are still triangle.

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False since there are isosceles triangles those are not equilateral triangles. Namely triangle with angles 20°, 20°, 140°

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False since not all triangles are equilateral. Scalene triangle is one of counterexamples.

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Final answer: <span>E is a subset of I, </span>S is a subset of T, and R ⊂ P.

Hope this helps.
6 0
4 years ago
Read 2 more answers
Can someone help me with this please? Thank you!
Finger [1]

Answer:

528 cm²

Step-by-step explanation:

First I would calculate the area of the side rectangles:

20 x 9 = 180 cm²

There are two identical rectangles on both sides so i would x2

180 x 2 = 360 cm²

The area of the middle rectangle:

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8 x 6 = 48

48 ÷ 2 = 24

There are two identical triangles on the bottom and the top so x2

24 x 2 = 48

Now add all the values up:

360 + 120 + 48 = 528 cm²

I hope this helps!

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