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3 years ago

Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number

Mathematics

1 answer:

natta225 [31]3 years ago

5 0

$(x-2)(x^2+1)=x^3+x-2x^2-2=x^3-2x^2+x-2$

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Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.

rjkz [21]

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

$k = \frac{1}{2}ms ^ 2$

Where m is the mass of the roller coaster car

s is the speed and k is the kinetic energy

We know that $s = 20\ m/s$

$m = 100\ kg$

Then the kinetic energy of the roller coaster car is:

$k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J$

3 0

3 years ago

Is 24 laps in 6 minutes equivalent

alekssr [168]

Answer:

yes it is

Step-by-step explanation:

that is a lap every 6 seconds .

4 0

3 years ago

The statement "if x is divisible by 8, then it is divisible by 6" is false if x equals

kotegsom [21]

$Answer:(3)\ 32\\\\32\ is\ divisible\ by\ 8\to32:8=4\\\\but\ not\ divisible\ by\ 6\to32:6=5\frac{1}{3}$

6 0

3 years ago

Read 2 more answers

What is 3x+2y=-13 3x+4y=1

Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

y = 2 1/3

4 0

3 years ago

A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?

kap26 [50]

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c= $\sqrt697}$ =26.40 which rounded to the nearest tenth =26

7 0

2 years ago