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Wittaler [7]
3 years ago
7

Which answer is right?

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0
the answer to this problem is (1,3)
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If a = √3-√11 and b = 1 /a, then find a² - b²​
Serga [27]

If b=\frac1a, then by rationalizing the denominator we can rewrite

b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8

Now,

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

and

a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8

a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8

\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}

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2 years ago
6w^3 - 13 the GCF ? or is this a prime?
svetoff [14.1K]
It is a prime because the only other factor of 6w^3-13 is 1.
7 0
3 years ago
2. Which is the BEST definition of a line's x-intercept?
asambeis [7]

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Step-by-step explanation:

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3 years ago
Given h(x) = 2x – 3, find h(5)
kobusy [5.1K]

Answer:

h(5) = 7

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 3

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Step 2: Substitute and Evaluate

h(5) = 2(5) - 3

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h(5) = 7

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3 years ago
Is the function given in the table even, odd, or neither?<br><br> Look at picture
xxMikexx [17]

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it is odd i think

Step-by-step explanation:

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2 years ago
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