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disa [49]
3 years ago
11

Identify the property that is illustrated by the equation.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
The answer is associative property of multiplication
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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?
Sedaia [141]

Answer:

Yes

Step-by-step explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:

a^2+b^2=c^2

Note that a and b are the legs of the triangle and c is the hypotenuse:

Substitute the lengths of the sides into the equation:

60^2+63^2=87^2

3600+3969=7569\\7569=7569

Therefore this triangle is a right triangle.

3 0
2 years ago
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Plz help me well mark brainliest if correct!!....ñ
MA_775_DIABLO [31]
B. A and C, they both have area of 48.
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3 years ago
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What is the inerquartile of the data set [40,48,62,40,25,50,20 30
Zanzabum
You just find the quartiles which are 62 and 50 the mines them which equals 12.

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3 years ago
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In an election, Mr. Jones received 70% of the 1,500 votes cast. How many votes did Mr. Jones receive?
Len [333]
Given situation: Mr. jones received 70% of the 1500 vote casts in an election Question and solution => How many votes did Mr Jones received: => 1 500 is the total number of voters and 70% of it voted Mr. Jones. SO let’s start solving to get the number of voters who voted him. => 70% = 70 / 100 = .70 => 1 500 * .70 => 1 050 , the number of voters who voted him in an election.
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3 years ago
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