Answer: ![\sqrt[3]{6n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6n%7D)
Step-by-step explanation:
We have the following expression:

Which can be written as follows:

Multiplying the exponents:

Writing in radical form we finally have the result:
Find the perpendicular line then find the intersection then find the point
perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1
y=mx+b
m=slope
y=2x-3
2 is slope
2 times what=-1
what=-1/2
the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7
find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D=
D=
D=
D=

D=2√5
distance= 2√5
Answer:
y= -2/3x+490
slope: -2/3
y-intercept: 490
Step-by-step explanation:
Y-intercept form is y=mx+b, so you would first subtract 2x from both sides to get 3y= -2x+1,470. Then you divide both sides by 3, to get y= -2/3x+490. -2/3 is in the place of m, so it is the slope, and 490 is in the place of b, so it is the y-int.
Answer:
16.7552
Step-by-step explanation:
The Area of a sector of a circle is θ/360 pi r²
so,
30/360 x 3.142 x 8 x 8
= 16.7551 to four decimal places is
Answer:
First do the case in which none of the digits is 0.
There are 9 ways to choose the digit that repeats 3 times and 8 ways to pick the other, after this there are 4 ways to order the digits. So 9×8×4.
Now we look at the cases in which the digit 0 repeats 3 times. Clearly the 9 numbers are 1000,2000,3000,…,9000.
Lastly we look at the cases in which 0 appears once. There are 9 ways to pick the other digit and 3 ways to order.
So the final answer is 9×8×4+9+9×3.