Parallel to y=2/3x+6 through (-3, 6)
1 answer:
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Answer:
a) (7,8)
b) r = 10
c)
Step-by-step explanation:
a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)
we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as
this is the coordinate of the center of the circle.
b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.
the general distance formula is:
in our case the equation changes to: (selecting the centre and point B)
side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)
c) the ingredients needed to make the equation of the circle are the
- coordinates of the center:
- radius of the circle:
we can put this in the formula of the circle:
in our case the equation changes to:
this is the equation of the circle!
Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:
f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.