Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.
The period of a function is the distance travelled by the curve of the function in one complete revolution.
We can see that in the given figure, the distance between two consecutive points is given by
Therefore, the period of the cosecant function is
Thus, the correct option is (B) \pi.
Answer: 3.5 pounds
Step-by-step explanation:
3 s + 7 h = 32 s = shoes h= hand grenades
6 s + 2 h = 22 Multiply first equation by -2 and add to second equation to get :
-12 h = -42
h = 3.5 pounds
sorry if this was late
Trinomial 2x² + 4x + 4.
It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c
(in our case Δ = 4² - (4)(2)(4) → Δ = - 32
We know that: x' = -1 + i and x" = -1 - i
If Δ > 0 we have 2 rational solutions x' and x"
If Δ = 0 we have1 rational solution x' = x"
If Δ < 0 we have 2 complex solutions x' and x", that are conjugate
In our example we have Δ = - 16 then <0 so we have 2 complex solutions
That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a
x' =
Answer:
-2/3x
Step-by-step explanation:
1.) use the slope equation (y2-y1)/(x2-x1)
2.) substitute the points into the equation (2-4)/(2--1)
3.) solve the equation (2-4= -2) / (2--1=3)
4.) the slope is -2/3
Answer:
OPTION A: 
, where 
.
Step-by-step explanation:
Given: 
Taking 
common outside in the denominator, we get:
will get cancelled on the numerator and denominator, we get:
we know that the denominator can not be zero.
That means, 1 + 8x 
0.
So, the answer is: 
, where 
.
