8x-4=180°
8x=184°
x=23
Large angle= 7(22)-15= 146°
Answer:
integers ∪ [0, ∞)
Step-by-step explanation:
The floor function gives the largest integer not greater than the input value. For non-negative numbers, that is the integer portion of the number, as Jim says.
However, for negative numbers, the floor is one less than the integer portion of any number that has a non-zero fractional part.
floor(1.2) = 1
floor(0.2) = 0
floor(-0.2) = -1
floor(-1.2) = -2
For any integer, negative or otherwise, the floor function gives that integer value.
Jim is correct on the domain of all integers and positive non-integers.
Calculate the direction cosines, and hence find the angles.
unit vector
=<105,135,-175>/sqrt(105^2+135^2+(-175)^2)
=<21/sqrt(2395),27/sqrt(2395),-35/sqrt(2395)>
=<0.4291,0.5517,-0.7152> (approx.)
Therefore the direction cosines are respectively
0.4291,0.5517,-0.7152, and the angles with the x,y and z-axes are:
acos(0.4291),acos(0.5517),acos(-0.7152)
=64.59, 56.51, and 135.66 degrees respectively.
Answer:
i think option b is correct
Step-by-step explanation:
Answer:
See below (Siéntete libre de traducir al inglés)
Step-by-step explanation:
Given the parabolic equation is in the form of (y-k)²=4p(x-h), this is a horizontal parabola with a vertical directrix at x=h-p where (h,k) is the vertex and the focus is (h+p,k). Since p=2, then the directrix is x=3-2=1. The vertex would be (h+p,k) -> (3+2,2) -> (5,2). Refer to the graph.
