Answer:5.43
Step-by-step explanation:
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Answer
D. Angle 8
Step-by-step explanation:
Quadrants 2 and 4 because in quadrant 2, cosine is negative and sin is positive, while in quadrant 4, cosine is positive and sin is negative
Answer:
The function is increasing for all real values of x where
x < –4.
Step-by-step explanation:
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex (h,k) represent a maximum
The roots of the function (or x-intercepts) are x=-6 and x=-2
The x-coordinate of the vertex is the midpoint of the roots
so
The y-coordinate of the vertex is
substitute the x-coordinate of the vertex in the quadratic equation
The vertex is the point (-4,4)
The function is increasing in the interval (-∞,-4)
The function is decreasing in the interval (-4,∞)
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write
a/12 = 5/b.....(1)
Also applying pythagoras theorem to the large triangle
b^2 = 5^2 + 12^2
b^2 = 169
b = 13
So substituting in equation (1):-
a / 12 = 5 / 13
a = (5*12 ) / 13