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Given:
4 relations in the options.
To find:
The relation which represents a function.
Solution:
We know that, a relation is a function if there exist a unique output value for each input value.
In option A, we have two output values y=-5 and y=1 for single input value x=-1. So, it is not a function.
In option B, we have two output values y=2 and y=4 for single input value x=3. So, it is not a function.
In option C, we have two output values y=1 and y=7 for single input value x=-1. So, it is not a function.
In option D, we have unique output value for each input value. So, it is a function.
Therefore, the correct option is D.
Answer:
∠EPH = 107°
Step-by-step explanation:
∠EPH is an angle formed by two intersecting chords.
arc FG and arc EH are the arcs ∠EPH intercepts.
The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.
Which means that ∠EPH = 1/2 ( arc FG + arc EH )
If arc FG = 120° and arc EH = 94°
Then ∠EPH = 1/2 ( 120 + 94 )
120 + 94 = 214
214 / 2 = 107
Hence, ∠EPH = 107°
Answer:
The equations have the same slope but different y-intercepts. This means the lines are parallel and there is no solution (since they do not intersect).
Answer:
C) 5x - 18 = 7
Step-by-step explanation:
Plug in 5 for x.
5x - 18 = 7
5(5) - 18 = 7
Simplify. First, multiply, then subtract.
25 - 18 = 7
7 = 7 (True)
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