Yes, some of these theorems include Side and side, angle side angle, and side side side. For right triangles, there's hypotnuse angle, leg angle, leg leg, and hypotnuse leg.
Answer:
12x + 7 is the answer
Step-by-step explanation:
Step-by-step explanation:
The first term of the AP (a) = 3
and common difference (d) = 8-3= 5
therefore, a+(n-1)d = 78
=> 3+(n-1)5= 78
=> n-1=75/5
=> n-1 = 15
=> n= 16
16th term of the AP is 78
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
8 feet is the longest side so it would be the hypotenuse. Use the Pythagorean formula to check.
a^2 + b^2 = c^2
3^2+5^2 = 8^2
9 + 25 = 64
34 = 64
This is obviously not true si it is not a right triangle.
