Answer:
Step-by-step explanation:
9/2 is the slope. Slope defines how steep is the straight line.
Slope = change in y ÷ change in x
In this model, 9 refers to the vertical distance between two points
and 2 refers to the horizontal distance between two points.
9/2 is a positive slope. It indicates that if 'x' increases, y also increase.
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Square both sides:


Since

is positive, you can discard the negative sign. So,

Substitute this value back into

to find


I hope this helps. =)
Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>
For this case we have the following functions:

When composing the functions we have:

Substituting values we have:

Rewriting:

The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3
Answer:
If this is asking for the set:
Z = {-3, -2, -1, 0, 1, 2, 3}
Step-by-step explanation:
Z is the set of all integers and it appears that you are being asked for the values in the set Z that are within the range: -3 ≤x ≤ 3
Answer:
A - 19.5
Step-by-step explanation:
A Rhombus is characterized by the diagonals meeting at a right angle. Therefore, the angle in the center is 90 degrees.
If you look at the bottom triangle, you know that the angles of a triangle add up to 180 degrees. You can say that all of the angles of the triangle added to 180 are:
(3x + 12) + (x) +(90) = 180 degrees
4x + 102 = 180 degrees combining like terms
4x + 102 - 102 = 180 - 102
4x = 78
4x/4 = 78/4
x = 19.5 degrees