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3 years ago

Does the set of numbers form a Pythagorean triple? Explain.

Mathematics

1 answer:

GREYUIT [131]3 years ago

7 0

Answer:

D. No, because the given numbers do not satisfy the equation a² + b² = c²

Step-by-step explanation:

For the set of numbers; 24, 20, 32, to form a pythagorean triple, they must satisfy the equation a² + b² = c².

Where, c is the longest side (hypotenuse), while a and b are the two other legs.

Let's find out.

a = 20, b = 24, c = 32

Plug in the value into the equation

20² + 24² = 32²

976 = 1,024 (this is not true).

976 is not equal to 1,024.

The set of given numbers does not form a pythagorean triple because it does not satisfy the equation a² + b² = c².

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Answer:b=5

Step-by-step explanation:the formular for pythagoras theory is

C^2=a^2+b^2

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3 years ago

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Answer:

$\displaystyle k = \frac{34}{3}$

Step-by-step explanation:

We are given the polynomial:

$\displaystyle P(x) = 3x^3 - kx^2 + 5x + k$

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Recall that the Factor Theorem states that a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (x - 2). Thus, a = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

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This must equal zero. Hence:

$\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3} \end{aligned}$

In conclusion, k = 34/3.

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Step-by-step explanation:

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