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4 years ago

A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.

1 answer:

4 0

You didn't give the fourth zero, but the answer is still false. If you have a root or an imaginary number as a zero, then its conjugate is also a zero. So if 8i is a zero, then -8i must also be a zero, and if 4i is a zero, then -4i must be a zero, with those zeros and -4, the number of zeroes exceeds the number of zeroes that a fourth degree polynomial can have.

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sergij07 [2.7K]

Answer:

Step-by-step explanation:

Draw a picture!

You have a right triangle with legs of 5 and 12.

By the Pythagorean Theorem, the hypotenuse is √(5²+12²) = 13

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3 years ago

Please help;-; tysm! (23 points)

avanturin [10]

Answer:

The answer is x = 27.

Step-by-step explanation:

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3 years ago

What property describes the number sentence 6+0=6

sergejj [24]

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3 years ago

Read 2 more answers

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

A clothes shop has some special offers. T-shirts are buy one get one free and jumpers are 3 for 2. The normal price of a T-shirt

MAXImum [283]

Answer:

£17.20

Step-by-step explanation:

A clothes shop has some special offers. ?

The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.

T-shirts are buy one get one free Jumpers are 3 for 2.

How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?

The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40

The cost of 5 jumpers =

You buy 3 Jumpers ,you get 2 jumpers free => £9.80

The total cost = £7.40 + £9.80

= £17.20

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3 years ago