Find the area of the parallelogram

Find a polynomial with the following zeros. HELPPPP ASAPPP

Pavlova-9 [17]

Answer:

x³ - 4x² + 2x + 4 = 0

Here's how I solved this:

You start off by rewriting the zeros into factors:

1 - √3 → x = 1 - √3 → (x - 1 - √3)

2 → x = 2 → (x - 2)

1 + √3 → x = 1 + √3 → (x - 1 + √3)

Now you want to multiply the factors together:

(x - 1 - √3) · (x - 2) · (x - 1 + √3)

- Multiply the first two factors together -

(x - 1 - √3) · (x - 2)

↓

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

- Combine like terms and simplify -

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

↓

(x² - 3x - √3 · x + 2√3 + 2)

- Now multiply the third factor -

(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)

↓

(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)

↓

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

- Combine like terms and simplify -

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

↓

x³ - 4x² + 2x + 4

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And there we get our solution: x³ - 4x² + 2x + 4

8 0

3 years ago

I NEED HELP FAST PLEASE! The measures of the angles of a triangle are shown in the figure below. Find the

erastova [34]

The measure of the smallest angle is 13.5

7 0

3 years ago

As of the 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people. H

LekaFEV [45]

Answer:

2,494,920

Step-by-step explanation:

We have been given that in 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people.

$\text{People live in Brooklyn}=681\times 3,669$

$\text{People live in Brooklyn}=2,498,589$

Now, we will subtract 3,669 from 2,498,589 to find the number of people more in Brooklyn than Marlboro.

$\text{People more in Brooklyn than Marlboro}=2,498,589-3,669$

$\text{People more in Brooklyn than Marlboro}=2,494,920$

Therefore, there are 2,494,920 more people live in Brooklyn than in Marlboro that is 680 times the people in Marlboro.

5 0

3 years ago

A box has a square bottom and top and is 5 cm high. find its volume if its total surface area is 192cm2

ohaa [14]

Alright let's start by noting that due to it having a square bottom and top the Length is equal to the Width. They gave us the surface area, but what we need is the length/width of the square top/bottom. So let's take the surface area and make it equal to the equation for the surface area of a rectangular prism (our shape):

192cm^2 = 2(lw + lh + hw)

Let's replace all the "l's" with w's (we can do this due to the fact that the length (l) equals the width (w) (l = w))

192cm^2 = 2(w*w + wh + hw)

192cm^2 = 2(w^2 + 2wh)

We know what the height (h) is as it is given in the problem (5cm).
192cm^2 = 2(w^2 + 2*5w)
192cm^2 = 2(w^2 + 10w)

Divide 2 on both sides.

96cm^2 = w^2 + 10w

Subtract 96 on both sides.

0 = w^2 + 10w - 96

Factor it out.
0 = (w - __)(w + ___)
0 = (w - 6)(w+16)

We have two possible answers of:
w = 6
w = -16

The only answer which makes sense is the positive one, because a box in real life can't have negative length.
So,
w = 6 cm.

7 0

3 years ago

Please help! Giving 25 points for the first correct answer + brainliest!!!

Sergio [31]

Answer:

first one is 4x

Step-by-step explanation:

Let me help. try doing what is in parenthesis first and then do the rest. for example, if u look at number 2, you have 8x - 6x + 4x. you have to solve whichever comes first. in this case, its 8x - 6x, which equals 2x. next you have +4x. 2x + 4x= 6x. hope this helped :)

3 0

3 years ago

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