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Mathematics 13 Online
OpenStudy (liziekay):

If a coordinate system is superimposed on the softball diamond in the figure below with the positive x-axis along the line from home plate to first base and the positive y-axis on the line from home plate to third base, what would be the coordinates of home plate, first base, second base, and third base?

OpenStudy (liziekay):

OpenStudy (liziekay):

home plate (x, y) = first base (x, y) = second base (x, y) = third base (x, y) =

OpenStudy (mathstudent55):

Draw the coordinate axes on the diamond. The coordinates of home plate are pretty easy to find.

OpenStudy (liziekay):

|dw:1471546827962:dw|

OpenStudy (mathstudent55):

You need to read carefully and follow directions to place the coordinate system the way the want you to.

OpenStudy (liziekay):

It's a 30, 60, 90. Could I use those ratios to help me?

OpenStudy (mathstudent55):

|dw:1471546886687:dw|

OpenStudy (mathstudent55):

No. It's not 30-60-90. You did not place the coordinate system correctly. Let's do it together. Look at the figure I drew above.

OpenStudy (liziekay):

Okay, what did I do wrong?

OpenStudy (mathstudent55):

What does this statement mean? "the positive x-axis along the line from home plate to first base "

OpenStudy (liziekay):

It's referring to the triangle that it would form from home plate to first base

OpenStudy (mathstudent55):

I don't see any triangle mentioned at all. It is telling you how to place the positive x-axis on the diamond. Can you show me on my drawing where "the line from home plate to first base" is?

OpenStudy (mathstudent55):

|dw:1471547157483:dw|

OpenStudy (liziekay):

|dw:1471547227935:dw|

OpenStudy (liziekay):

Oh, I see now.

OpenStudy (mathstudent55):

|dw:1471547209291:dw|

OpenStudy (liziekay):

How would we find the coordinates using that?

OpenStudy (mathstudent55):

Your drawing is still incorrect because you are not following the instructions. Yes, you circled home and first which means you see them. Now you need to place the positive x-axis, a ray, over the line that connects home base to first base.

OpenStudy (mathstudent55):

Now that I know you know where home plate and first base are, can you show me the line that connects them?

OpenStudy (liziekay):

|dw:1471547448688:dw|

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