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3 years ago

Y^3-27=9y^2-27y how to factor

1 answer:

4 0

Hello! And thank you for your question!

First we are going to redo the equation:

y^3−3y^2(3)+3(y)×3^2−3^3=0

Then we are going to use Cube of Difference:

0 = (y - 3)^3

That take cube root of both sides:

0 = y - 3

Finally add 3 to both sides:

3 = y

Final Answer:

y = 3

You might be interested in

What is (-7x + 1) + (-x + 2)

Andrej [43]

$(-7x + 1) + (-x + 2)=\\
-7x+1-x+2=\\
-8x+3$

7 0

4 years ago

Find DE (trigonometry) Show work pls

Ksju [112]

Answer:

Step-by-step explanation:

tan61=FD/24

FD=24tan61

tan19=DE/FD

DE=FDtan19, since FD=24tan61

DE=(24tan61)(tan19) (exact)

DE=14.9 units (rounded to nearst tenth)

Though they might round to 15 units...

7 0

3 years ago

stich3 [128]

Answer:

7.0 m/s

Step-by-step explanation:

We can solve this using the 2 kinematic equations and you can use either:

$Vf=Vi+at\\\\vf^{2}=vi^{2}+2ad$

So let's use the first one.

Vi = initial velocity

Vf = final velocity

a = acceleration due to gravity (constant 9.8m/s²)

t = time

The marble is dropped so this means that it is in free fall. The initial velocity is always 0m/s.

We are given then the following:

d = 2.5m

t = 0.71s

Vi = 0 m/s

a = 9.8m/s²

So we plug in the values we know and solve:

$Vf = Vi + at\\\\Vf = 0 m/s + (9.8m/s^{2})(0.71s)\\Vf = 6.958m/s \cong 7.0m/s$

7 0

3 years ago

4. Luke is also making pizzas. He started with 4 cups of pepperoni. He has used 2/3 of his pepperoni. How many cups of pepperoni

baherus [9]

Answer:

2.66666667

Step-by-step explanation:

i looked it up

7 0

3 years ago

Triangle hjk is an isosceles triangle. The measures of angles j and k are equal. The measure of angle h is 100 degrees. How do y

WITCHER [35]

Every triangle has a total of 180 degrees. If one angle measure is 100, then 180-100 is 80. This means that the other two angle measures have a total of 80. As angle j and k are equal, we divide 80 by 2, to get 40. This means that the measure of both angle j and k is 40 degrees. The measure of angle j is 40 degrees.

6 0

4 years ago