Answer:
x = √30 or -√30
Step-by-step explanation:
480 - 16x^2 = 0
divide both sides by 16
30 - x^2 = 0
-x^2 + 30 = 0
-x^2 = -30
X^2 = 30
x = ± √30
x = √30 or -√30
Answer:
5(3√x) +9(3√x) = 15√x+27√x= 42√x
5∛x + 9∛x = 14∛x
Step-by-step explanation:
Answer:
23 is the smallest number
Step-by-step explanation:
Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.
All together they add to 72.
So n + n+1 +n +2 = 72.
3n + 3 = 72
3n = 69
n = 23
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

The given line is:

So we have:

We find 

So, a line perpendicular to the one given is of the form:

We substitute the given point to find "b":

Finally we have:

In point-slope form we have:

ANswer:

A)Add 3 and the continue to add 2 more to three each time to get the next number
B)add 1 and add one to the number one each time to get the the next number