Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
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2) The acute angle between the terminal ray and the x-axis is the "reference angle."
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3) Multiply radians by 180°/π to convert to degrees.
a) π/2 × 180°/π = 180°/2 = 90°
b) 7π/12 × 180°/π = (7/12)(180°) = 105°
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4) To convert from degrees to radians, multiply by π/180°.
a) 360° × π/180° = 2π radians
b) 315° × π/180° = 7π/4 radians
Since the graph of the given functions is a straight line, the graph belongs to a linear function, as all linear functions have their graphs as a straight line. For a non-linear function the graph is not a straight line.
For a relation (non-function), the line passes through same value of x for more than one points.
Hence the correct answer is "Linear Function"
10% of 14 =1.4
14-1.4=12.6
6% of 14=0.84
12.6+0.84= 13.45
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
