Hi there!
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
To find the slope of the line, choose any of the points in the table and set up this expression:
y2 - y1 / x2 - x1, where y2 is the y coordinate of the second point you chose, y1 is the y coordinate of the first point you chose, x2 is the x coordinate of the second point you chose, and x1 is the x coordinate of the first point you chose.
So,
3 - (-6) / 2 - 2 = 9 / 0 for the first two points. The slope of the line is undefined because it is a vertical line.
2. A
becasue it say that you randomly ask everyone
Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71
Answer:
Step-by-step explanation:
Product of 5 and a number: 5n
Six more than that would be 5n + 6
Finally, "six more than the product of 5 and a number, decreased by one" would be
5n + 6 - 1, or 5n + 5
