Keeping in mind that in a rhombus, the diagonals meet at right angles, namely all angles in the middle, are 90°.
so on the bottom triangle, we have 3 angles, (x), (3x+12) and the right-angle from the intersection of the diagonals, (90).
recall that the sum of all interior angles in a triangle is 180°, therefore,
Domain is the x value's
to get your answer, get all the x - values
i.e
(3, -2, 5, -1)
So, You're correct option is C.
Answer:
See proof below
Step-by-step explanation:
The inductive proof consists on the following steps:
1) Base case: for n=0, we will prove that Γ(1)=0!=1. We have that
Hence the base case holds.
2) Inductive step: suppose that Γ(n + 1) = n! for some natural number n. We will prove that Γ((n + 1)+1) = (n+1)!
Use integration by parts, with the following parts:
u=t^{n+1}, du=(n+1)t^n
dv=e^{-t}, v=-e^{-t}
and we used the induction hypotheses on this last line. Also, -t^n e^-t tends to zero as n tends to infiity (the exponential decays faster than any polynomial).
We have proved the statement for n+1, and by mathematical induction, the statement holds for all n.
Answer:
C
Step-by-step explanation:
Do u hav any other questions 4 this test? I belive ive taken it b4 a few days ago
ANSWER
EXPLANATION
We want to solve the trigonometric equation
We group like terms to obtain,
Divide both sides of the equation by 3 to get,
We can reciprocate both sides to get,
We simplify the right hand side to get,
Since the tangent ratio is negative, it implies that it is either in the second quadrant or fourth quadrant.
In the second quadrant,
In the fourth quadrant,