The product a number with its square is equal to 8. Find the number.
Answer:
the number is 2
Step-by-step explanation:
Let us assume the number to x.
So, according to the equation:
![\textrm{x}\times\textrm{x}^{2}=8\\ \textrm{x}^{3}=8\\ \textrm{x}=\sqrt[3]{8}\\ \therefore \textrm{x}=2](https://tex.z-dn.net/?f=%5Ctextrm%7Bx%7D%5Ctimes%5Ctextrm%7Bx%7D%5E%7B2%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%5E%7B3%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%3D%5Csqrt%5B3%5D%7B8%7D%5C%5C%20%5Ctherefore%20%5Ctextrm%7Bx%7D%3D2)
Two parallel lines have the same slope.
the slope of the given line is: -2y=-3x+12
y=3/2x -6
so the slope is 3/2
the new line passes (0,0), so the equation is simply:

I guess that is the answer.
Hope this helps !
Photon
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Those are two vertical angles, and vertical angles are congruent,
so x+9=3x-27
2x=36
x=18
x+9=18+9=27
each angle is 27 degree