Which of these statements are true?
2 answers:
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One thing to pay close attention to is that, AB is a segment whose length is 12 cm, now we're not referring to the arcAB, but to the straight-line going from A to B, the segment AB, as you can see in the picture below in green.
now, the segments OA and OB are radius of the circle and therefore twins, and since they're twin sides, they make up twin angles on the other end, the green end.
if those angles at A and B are twins, the only possible values for them is 60°, what the dickens does all that mean?
well, it means the triangle AOB is an equilateral triangle, and if AB is 12, then OA and OB are also twelve, thus we know the radius of the circle is 12.
now, that is the circumference of that circle, and since we only need to know what arcAB is, and since arcAB is 1/6 of the circle, then 1/6 of that circumference is 24π/6.
now, the segments OA and OB are radius of the circle and therefore twins, and since they're twin sides, they make up twin angles on the other end, the green end.
if those angles at A and B are twins, the only possible values for them is 60°, what the dickens does all that mean?
well, it means the triangle AOB is an equilateral triangle, and if AB is 12, then OA and OB are also twelve, thus we know the radius of the circle is 12.
now, that is the circumference of that circle, and since we only need to know what arcAB is, and since arcAB is 1/6 of the circle, then 1/6 of that circumference is 24π/6.
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
