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lys-0071 [83]
3 years ago
7

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

Mathematics
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


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What is the equation of the line? Please help asap!!!! First Correct answer will get brainestttttt !!
faust18 [17]

Answer:

3y= -2x-6

Step-by-step explanation:

The two points on the line are (-3,0) and (0,-2)

so you first get the gradient;

gradient= <u>change in y</u>

change in x

= <u>-2-0</u>

0-(-3)

=<u> -2</u>

3

so the answer above is the gradient

then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)

since you have the gradient you can easily get the equation by doing this

<u>y-0</u><u>. </u><u> </u> = <u>-2</u>

x-(-3). 3

then crossmultiply to get the equation of the line

3y= -2(x+3)

3y= -2x-6

6 0
3 years ago
Which triangle side lenghs form a right triangle
aalyn [17]

Answer:

angle of 90 degrees

Step-by-step explanation:

if the length satisfy the pythagorean theorem (a2+b2=c2) then it is a right traingle

5 0
3 years ago
Add one set of parenthesis to make the following equation true<br> 25 - 8 - 2 = 19
amid [387]
An easy way to do this is to do trial and error.

All possible places to put the bracket:

a) (25 - 8) - 2 = 19 But since BEDMAS goes from left to right with Addition and Subtraction, the equation is unaffected.
b) 25 - (8 - 2) = 19
25 - 6 = 19

Therefore b) is correct.


7 0
3 years ago
How would you write 6x6x6x6 asan exponential expression
agasfer [191]
Basically, all you have to do is count how many 6 's you have and then write 6^4. Which is 6 to the fourth power.
7 0
3 years ago
Read 2 more answers
The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.3 in/s. At
Angelina_Jolie [31]

Answer:

The volume is changing at a rate given by:

\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}

Step-by-step explanation:

Let's recall the formula for the volume of acone, since it is the rate of the cone changing what we need to answer:

Volume of cone = \frac{1}{3} B\,*\,H

where B is the area of the base (a circle of radius R) which equals = \pi\,R^2

and where H stands for the cone's height.

We apply the derivative over time operator (\frac{d}{dt}) on both sides of the volume equation, making sure that we apply the rule for the derivative of a product:

V=\frac{1}{3} B\,*\,H\\\\V= \frac{1}{3} \pi\,R^2\,H\\\frac{dV}{dt} =\frac{\pi}{3}\,( \frac{d(R^2)}{dt} H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,R\,\frac{dR}{dt}\, H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,(110\,in)(1.4\,\frac{in}{s} )\,(151\,in)+(110\.in)^2\,(-2.3)\frac{in}{s} )\\\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}

8 0
2 years ago
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