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lakkis [162]
4 years ago
15

I don't know what to write! Help me please​

Mathematics
1 answer:
Andrews [41]4 years ago
3 0
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LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

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

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

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

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

4 0
4 years ago
A circular fountain has a radius of 30 feet. Which expression can be used to find the circumference of the fountain, in feet?
Svetradugi [14.3K]
C = 2\pi r \\ = 2 \times 3.14 \times 30 ft.\\ = 188.4ft.

Hope this helps. - M
3 0
3 years ago
Read 2 more answers
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
asambeis [7]

9514 1404 393

Answer:

  V = (2/3)(11)

Step-by-step explanation:

The given cylinder has a height of 2r, so its volume is ...

  V = πr²(2r) = 2πr³

The volume of a sphere is given by ...

  V = 4/3πr³

Then the ratio of the volume of the sphere to the volume of the cylinder is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

So, the volume of the sphere is 2/3 times the volume of the cylinder:

  V = (2/3)(11)

4 0
3 years ago
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The amount of petrol a car uses is directly proportional to the distance it travels
ArbitrLikvidat [17]

Answer:

Drt

Step-by-step explanation:

Dd

6 0
3 years ago
A ball was kicked into the air from a balcony 20 feet above the ground, and the ball’s height above the ground, in feet, t secon
MrRa [10]
<span>the maximum height of the ball after it was kicked was 36 feet.</span>
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