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2 years ago

If x^2+y^2=13 and xy=6 then find the value of x^4+y^4

Mathematics

1 answer:

algol [13]2 years ago

7 0

Recall that (a + b)² = a² + 2ab + b².

Let a = x² and b = y². Then

(x² + y²)² = (x²)² + 2x²y² + (y²)²

⇒ x⁴ + y⁴ = (x² + y²)² - 2 (xy)²

Given that x² + y² = 13 and xy = 6, we have

x⁴ + y⁴ = 13² - 2×6² = 97

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3 years ago

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3 years ago

I don’t get this work I can’t solve it

Darina [25.2K]

Answer:

Step-by-step explanation:

-7+1+ -1 * -6

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3 years ago

Read 2 more answers

CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM

Tema [17]

Step-by-step explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

$\sin = \frac{p}{h}$

$sin \: 40 = \frac{p}{15}$

or, as in per the given sin value is 0.6428

so,

$0.6428 = \frac{p}{15}$

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...

3 0

3 years ago

All of the following are terminating decimals except _____.

monitta

We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.

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3 years ago