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3 years ago

How can you quickly determine the number of roots a polynomial will have by looking at the eqation?

1 answer:

3 0

Easy way is to look at the term with the highest exponent. The exponent determines the number of roots. Some might be double roots. THough not all of then will be real. The imaganry ones come in pairs
Examples:
x^4 - 4 roots
x^7 - 7 roots
x^3 - 3 roots

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The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52 m^2. Find the dimensions of the

lys-0071 [83]

length is 8m

Width is 6.5m

Explanation:

Let, width = b

So, length = 2b-5

area = 52 $m^{2}$

We know,

area of rectangle = length X width

So, $52m^{2}$ = $(2b-5) X b$

On solving the above equation, we get

Width, b = 6.5m

length, l = 8m

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2 years ago

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Hunter-Best [27]

Answer:

Step-by-step explanation:

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2 years ago

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alekssr [168]

Answer:

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Step-by-step explanation:

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2 years ago

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Sloan [31]

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2 years ago

ZA Round your answer to the nearest hundredth.

Ahat [919]

Answer:

A = 48.81°

Step-by-step explanation:

Angles in a Right Triangle

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

$\displaystyle \tan A=\frac{8}{7}$

Using the inverse tangent funcion:

$\displaystyle A=\arctan\frac{8}{7}$

Calculating:

A = 48.81°

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2 years ago