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aev [14]
3 years ago
9

Please can you fully factorise these equasions?

Mathematics
2 answers:
jolli1 [7]3 years ago
5 0
1)\\ 36x^3-6x=6x(6x^2-1)=6x[( \sqrt{6} \cdot x)^2-1^2]=6x(x \sqrt{6} -1)(x \sqrt{6} +1)\\ \\2)\\12x^3+15x^2=3x^2(4x+3)\\ \\3)\\8x-10x^2=2x(4-5x)
Murljashka [212]3 years ago
3 0
36x^3-6x=6x(6x^2-1)=6x[(x\sqrt6)^2-1^2]=6x(x\sqrt6-1)(x\sqrt6+1)\\\\12x^3+15x^2=3x^2(4x+5)\\\\8x-10x^2=2x(4-5x)
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A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car. What is the length of the
Romashka-Z-Leto [24]

Answer:

20 m

Step-by-step explanation:

the distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.

7 0
3 years ago
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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

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

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0
3 years ago
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Percy is filling a cylindrical tank with water. The tank is
Archy [21]

Answer:

B

Step-by-step explanation:

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Books spontaneously catch on fire in temperatures at or above 451, degree Fahrenheit. Write an inequality that is true only for
Brilliant_brown [7]
For this case, the first thing you should do is define a variable.
 We have then:
 t: temperature (degree Fahrenheit).
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an inequality that is true only for temperatures at which books spontaneously catch on fire is:
 
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3 0
3 years ago
NEED HELP ASAP
balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0
3 years ago
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