Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
Answer:
The area is 8 mm squared.
Step-by-step explanation:
The formula for the area of a triangle is 1/2 times base times height. If you plug the base and height in, you can solve this. When you plug it in, you get 1/2 times 2 times 8. This simplifies to 1/2 times 16, which simplifies to 8.
They give us a few of the rare angles we can get exact answers for and then they ask for an approximation. Amateurs.
In the 30/60/90 triangle the sides are in ratio 1:√3:2. So for the big side 22 the altitude h=11 and the part of the base to the right of the right angle is 11√3.
In the 45/45/90 triangle the sides are in ratio 1:1:√2 so the altitude h=x/√2 and the base to the left of the right angle is also h. So
x = h√2 = 11√2
y = 11√3 + 11
I hate ruining a nice exact answer with an approximation but they asked:
Answer: x=15.56 y=30.05
I believe the answer is D.
Answer:
The answer is D. Variable. The "letters after the numbers" are always variables. A coefficient is the number that the variable is being multiplied by. An exponent would be something like this: with the 2 being the exponent. A binomial is an algebraic expression of the sum or the difference of two terms.