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irinina [24]
2 years ago
15

Create a polynomial with zeros: x = {-2,3} I have no idea how to do this

Mathematics
1 answer:
aliya0001 [1]2 years ago
4 0

Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

x(x - 3) + 2(x - 3)

x² - 3x + 2x - 3

x² - x - 3

Polynomial = <em>x² - x - 3</em>

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By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

<h3>How to find the value of the sine?</h3>

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

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If you want to learn more about trigonometry.

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Answer:

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Step-by-step explanation:

4. So, total time traveled is calculated by adding travel times in both directions.

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Now, let's do the same for the opposite direction. Since it's the same distance, he again flew 300 miles, but the speed this time was 100 miles per hour:

t2 = s / v2

t2 = 300 miles / 100 miles per hour

t2 = 3 hours

So, total time he traveled was t1 + t2 = 2 hours + 3 hours = 5 hours.

For the trip distance we need to add distances in both directions. We already said that the distance is the same, so the total trip distance is 300 miles + 300 miles = 600 miles.

Displacement shows how far are the ending and the starting point. Since Charlie started from Detroit, flew to Chicago, and then came back to Detroit, his ending point is the same as the starting, so the displacement is 0.

We can calculate average speed by dividing total distance with the total travel time. We already found that the total trip distance was 600 miles, and the total travel time was 5 hours. That means that:

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As for the average velocity, we calculate it by dividing displacement by total travel time. Since the displacement was 0, average velocity will also be 0.

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So, our graph will show, for the first second, velocity of 2m/s, and for the next four seconds, the velocity of 0.5 m/s.

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v = s / t

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v = 325 miles / 5 hours

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t = s / v

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