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3 years ago

7

Determine the linear factors for 27x^3-12x

1 answer:

Kitty [74]3 years ago

6 0

27x^3 - 12x factors into

3(9x^3 - 4x) a common factor of three has been taken out.

3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.

9x^2 - 4 factors by means of the difference of squares

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

The two linear factors are 3x - 2 and 3x + 2

You might be interested in

2x^{2} +4x+1=0 <br> Solve for x.

Viefleur [7K]

2x^2 + 4x + 1 = 0

2x^2 + 4x + 1 - 1 = 0 - 1

2x^2 + 4x = -1

X(2x + 4) = -1

X = -1.

2x + 4 = -1
2x + 4 - 4 = -1 - 4
2x = -5
2x/2 = -5/2
X = -5/2.

I believe these are the solutions. If not you can use the quadratic formula to solve for the roots, solutions.

7 0

3 years ago

Write the coordinates of the vertices after a translation 4 units right and 4 units down.

m_a_m_a [10]

Answer:

T'(1, -2)
U'(1, -1)
V'(2, -1)
W'(2,-2)

Step-by-step explanation:

Translation 4 right adds 4 to each x-coordinate.

Translation 4 down subtracts 4 from each y-coordinate.

Doing this arithmetic gives you the results above.

8 0

3 years ago

Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t

DochEvi [55]

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

8 0

3 years ago

A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

stich3 [128]

Answer:

The distance between 12m-sides is $5\sqrt{2}m$ .

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

$\sin\theta=\frac{perpendicular}{hypotenuse}$

$\sin C=\frac{BE}{BC}$

$\sin(45^{\circ})=\frac{d}{10}$

$\frac{1}{\sqrt{2}}=\frac{d}{10}$

$\frac{10}{\sqrt{2}}=d$

$\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d$

$\frac{10\sqrt{2}}{2}=d$

$5\sqrt{2}=d$

Therefore the distance between 12m-sides is $5\sqrt{2}m$ .

4 0

3 years ago

PLEASE HELP! Using synthetic division, find (2x^4+4x^3+2x^2+8x+8)/(x+2)

aalyn [17]

-2 | 2 4 2 8 8
. | . -4 0 -4 -8
-------------------------------
. | 2 0 2 4 0

which translates to

$\dfrac{2x^4+4x^3+2x^2+8x+8}{x+2}=2x^3+2x+4$

7 0

3 years ago