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attashe74 [19]
4 years ago
8

Pythagorean thoerem

Mathematics
2 answers:
laiz [17]4 years ago
7 0

Answer:

Step-by-step explanation:

30-60-90 triangle.

Side opposite to 30 = a

Side opposite to 60 = a√3

Side opposite to 90 = 2a

Now,

Side opposite to 30 = 17

So, x = 17√3

y = 2*17 = 34

Fiesta28 [93]4 years ago
7 0

Answer: The answer to x is 17 radical 3 and y is 34

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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

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3 years ago
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Answer:

x=-3

Step-by-step explanation:

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John is living in New York, where the state sales tax is 8%. The total cost of his purchase was $50.00. What was the original pr
bogdanovich [222]

Let p be the pre-tax cost.  Then 1.08p = $50.  Solving for p, the pre-tax cost, we get:

p = ($50) / (1.08) = $46.30.

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4 years ago
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