Answer:
x = 10
Step-by-step explanation:
For the lines to be parallel, the two angles must have the same measure:
80 - x = 90 - 2x
x = 10 . . . . . . . . . add 2x-80
The value of x must be 10 to make the lines parallel.
Get the app Socratic and then take a pic, it will explain it better than anybody on here can
Answer:
(-1, 19) and (3, -81)
Step-by-step explanation:
f(x) = 2x³ − 6x² − 27x
f'(x) = 6x² − 12x − 27
-9 = 6x² − 12x − 27
0 = 6x² − 12x − 18
0 = x² − 2x − 3
0 = (x + 1) (x − 3)
x = -1 or 3
f(-1) = 19
f(3) = -81
The points are (-1, 19) and (3, -81).
Answer:
Step-by-step explanation:
First and foremost, all quadratics have a domain of all real numbers (as long as we are not given only a portion of the graph, or one with endpoints. Our graph does not have endpoints, so it is assumed that the tails will continue to go down into negative infinity and at the same time, the x coordinates will keep growing as well.) Since our quadratic is upside down, it has a max. That means that none of the values on the graph will be above that point. All the values will be below that highest point (the highest y-value). Y-values indicate range, and since our highest y-value is at y = 2, then the range is
y ≤ 2
Answer:
Explanation:
While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.
For example, if you were to solve 2x + 3 = 9
You would add 3 on both sides and divide both sides by 2 to determine x.
Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.
Step-by-step explanation:
For this problem, add c on both sides, we do this because we are aiming to eliminate the c from both sides.
a+c =2b
In order to find the value of b, divide both sides by 2, we do this because we want to get rid of the coefficient.
This should leave you with the answer of b=a/2 + c/2
