Answer:
use this to help you
Step-by-step explanation:
In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six.
Answer:
- f(1) = 4
- f(n) = f(n - 1) + 4
Step-by-step explanation:
Given the sequence:
The first term is 4 and common difference is 4
<u>Recursive formula:</u>
- f(1) = 4
- f(n) = f(n - 1) + 4
The axis of symmetry can be found by finding the average of the zeros, a derivation from the conservation of energy :P, or by finding the point when the velocity is equal to zero.
df/dx=-6x+12 so df/dx, velocity, equals zero when:
-6x+12=0
6x=12
x=2 so the axis of symmetry is the vertical line x=2
....
average of zeros...
3x^2-12x+6=0
x^2-4x+2=0
x^2-4x=-2
x^2-4x+4=2
(x-2)^2=2
x-2=±√2
x=2±√2 so the average of the zeros is obviously 2.
....
conservation of energy
vf-vi=at When vf=0, this is the maximum value for f(x)...
-vi=at, vi=b and a(acceleration)=2a(from quadratic) and t=x
-b=2ax
x=-b/(2a) in this case
x=-12/(2(-3))
x=-12/-6
x=2
Answer:
Scalene
Step-by-step explanation:
The three angles have different measures, so the sides have different lengths.
Sometimes it's hard not to assume something from a picture. Just because two of the sides look congruent doesn't mean they are. The information in the diagram (and geometry knowledge and logic!) are your guide.
Solving for the angles, we need to apply and use Law of Cosines:
Solving for ∠AB, we have
cos ∠AB = (BC² + CA² - AB²) / 2*BC*CA
cos∠AB = (9²+17² -13²) / 2*17*9
∠AB = 48.94°
Solving for ∠BC, we have
cos ∠BC = (AB² + CA² - BC²) / 2*AB*CA
cos∠AB = (13²+17² -9²) / 2*17*13
∠BC = 31.47°
Solving for angle CA, we have:
∠CA = 180° - 31.47° - 48.94°
∠CA = 99.49°
The smallest angle is 31.47°.
