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3 years ago

Find a polynomial of degree 3 with zeros of 4, 2i and -2i

Mathematics

1 answer:

andre [41]3 years ago

7 0

$(x-4)(x-2i)(x+2i)=\\
(x-4)(x^2+4)=\\
x^3+4x-4x^2-16=\\
x^3-4x^2+4x-16$

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The answer should be 290 cm2, i will post a comment here later if it is wrong or not. Have a good day :)

labwork [276]

Answer:

UwU

Step-by-step explanation:

ok good luck then

7 0

3 years ago

A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.

SCORPION-xisa [38]

Answer:

$x =10$

Step-by-step explanation:

Given

$AB = 12$

$BC = 18$

$AC = 3x$

Required

Solve for x

Since B is in between both points, then:

$AC = AB + BC$

This gives

$3x = 12 + 18$

$3x = 30$

Divide by 3

$x =10$

3 0

3 years ago

The groundhog population of Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by

kap26 [50]

Answer:

There was a increase of 1.7% over these three years

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: $\frac{100-a}{100}$

For a increase of a%, we multiply by: $\frac{100+a}{100}$

What was the percentage increase/decrease of groundhogs over these three years?

Decrease of 12%(multiplication by 0.88).

Increase of 6%(multiplication by 1.06).

Increase of 9%(multiplication by 1.09).

After these three years:

0.88*1.06*1.09 = 1.017

1.017 - 1 = 0.017

0.017*100% = 1.7%

There was a increase of 1.7% over these three years

3 0

3 years ago

I need help solving this equation -3=9/(5-2k)/5

Amanda [17]

Solve for k by simplifying both sides of the equation, then isolating the variable.

k= 14/5

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4 years ago

The old building at the back of the school is badly in need of repair. the company Hsa and the executive are planning to renovat

lisabon 2012 [21]

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of 1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

4 0

3 years ago