What is the equation of the graph below?
2 answers:
<u>Answer:</u>
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<u>Step-by-step explanation:</u>
We are a given a graph from which we can clearly see that y = -1 when x = 0.
Next, to find out which of the options is the equation of the given graph, we need to set our calculator to the radian mode and then we will put the value of x to be 0.
1. y = cos(x + pi/2) = cos(0 + pi/2) = 0
2. y = cos(x+2pi) = cos(0+2pi) = 1
3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5
4. y = cos(x+pi) = cos(0+pi) = -1
We get y = -1 when x = 0 in equation number 4, y = cos(x+pi) = cos(0+pi) = -1. so that is the equation of the given graph.
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9514 1404 393
Answer:
(c) not on the circle
Step-by-step explanation:
The distance formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the equation of the circle, we're interested in the square of the distance between the center and the point on the circle.
d² = r² = (x2 -x1)² +(y2 -y1)²
r² = (3 -5)² +(2 -4)² = 4 + 4 = 8
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We can compare this to the square of the distance to the point (9, -1).
d² = (9 -5)² +(-1 -4)² = 16 +25 = 41
The radius and the distance to (9, -1) are clearly different, so the point does not lie on the circle.
