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madam [21]
4 years ago
14

The hypotenuse z of the figure shown below 40 yards 30 yards

Mathematics
2 answers:
Ivanshal [37]4 years ago
8 0

Answer:

The length of the hypotenuse x is 50 yards.

Step-by-step explanation:

Naya [18.7K]4 years ago
3 0

Answer:

the hypotenuse equals 2,500 yards

Step-by-step explanation: The equation for finding the hypotenuse of a right triangle is: A squared + B squared = C. (C being the hypotenuse)

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Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
Virty [35]

Solving for the polynomial function of least degree with integral coefficients whose zeros are -5, 3i

 

We have:
x = -5

Then x + 5 = 0

Therefore one of the factors of the polynomial function is (x + 5)


Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
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Therefore one of the factors of the polynomial function is (x^2 + 9)


The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)

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Therefore, x^3 + 5x^2 + 9x – 45 = 0

f(x) = x^3 + 5x^2 + 9x – 45

 

The polynomial function of least degree with integral coefficients that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45

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