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soldier1979 [14.2K]
3 years ago
5

Factor 12x^3 -3x^2=0

Mathematics
2 answers:
Arada [10]3 years ago
5 0

Answer:

The answer is 3x^2(4x-1)=0

Step-by-step explanation:

AfilCa [17]3 years ago
4 0

Answer:

Step-by-step explanation:

12x³ = 2²·3·x³

The greatest common factor of 12x³ and 3x² is 3x².

12x³ - 3x² = (4x - 1)3x²

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Could someone help plz
Komok [63]

Answer:

The radius of the sphere is approximately 62.71 cm

Step-by-step explanation:

The question relates to the definition of a sphere

The given parameters are;

The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters

The radii of the circular faces left by cutting the sphere with the blade = 39 cm  and 60 cm

From the triangles formed by the cross-section of the sphere, we have;

AB ║ DE Given

∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles

∠C ≅ ∠C by reflective  property

∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem

CF/CG = AB/DE = 78/120 = 13/20

CF = CG × 13/20

CF + CG = 77

∴ CG × 13/20 + CG = 77

33·CG/20 = 77

∴ CG = 140/3

CF = 13/20 × CG = 13/20 × 140/3 = 91/3

CF = 91/3

The diameter of the sphere AE = AC + EC

By Pythagoras's theorem

AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3

EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3

∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)

The diameter, 'D', of the sphere, AE = 11·√(130)

The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm

7 0
3 years ago
Population growth is:<br> A) Logarithmic<br> B) Linear<br> C) Exponential<br> Please help ASAP!!! :(
Monica [59]

For this case we have that by definition the growth of a population is a function of the form:

f (x) = a (b) ^ x

Where,

  • <em>a: initial population </em>
  • <em>b: growth rate </em>
  • <em>x: number of years </em>

We observe then that the function is of the exponential type.

Answer:

C) Exponential

6 0
3 years ago
The equation x + 10 = 10, has a solution which is an integer.
Irina-Kira [14]

Answer:

the correct answer is d) i.e the above statement has a solution which is neither positive nor negative

because X+10=10

or,X=10-10

X=0

and 0 is neither positive nor negative

3 0
3 years ago
Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

6 0
3 years ago
What is the slope of the line?​
Eddi Din [679]

Answer:

-1

Step-by-step explanation:

Choose two point on that line such as (1,1) and (2,0)

Then use slope formula y-y/x-x

1-0/1-2 = 1/-1  =  -1

8 0
3 years ago
Read 2 more answers
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