31. Directions
For questions 31 through 38, solve the problem and enter your answer in the grid, as described below, on the answer sheet.
1. Although not required, it is suggested that you write your answer in the boxes at the top of the columns to help you fill in the circles accurately. You will receive credit only if the circles are filled in correctly.
2. Mark no more than one circle in any column.
3. No question has a negative answer.
4. Some problems may have more than one correct answer. In such cases, grid only one answer.
5. Mixed numbers such as must be gridded as 3.5 or 7/2. , is entered into the grid, it will be interpreted as not
6. Decimal answers: If you obtain a decimal answer with more digits than the grid can accommodate, it may be either rounded or truncated, but it must fill the entire grid.
The following are four examples of how to record your answer in the spaces provided. Keep in mind that there are four spaces provided to record each answer.
Examples 1 and 2
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Example 1: If your answer is a fraction such as seventwelfths, it should be recorded as follows. Enter 7 in the first space, the fraction bar (a slash) in the second space, 1 in the third space, and 2 in the fourth space. All four spaces would be used in this example.
Example 2: If your answer is a decimal value such as 2.5, it could be recorded as follows. Enter 2 in the second space, the decimal point in the third space, and 5 in the fourth space. Only three spaces would be used in this example.
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Example 3
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Example 3: Acceptable ways to record twothirds are: 2 slash 3, .666, and .667.
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Example 4
Note: You may start your answers in any column, space permitting. Columns you don’t need to use should be left blank.
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Example 4: It is not necessary to begin recording answers in the first space unless all four spaces are needed. For example, if your answer is 201, you may record 2 in the second space, 0 in the third space, and 1 in the fourth space. Alternatively, you may record 2 in the first space, 0 in the second space, and 1 in the third space. Spaces not needed should be left blank.
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Question 31 is based on the following figure.
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The figure presents a circle in the x yplane, with the origin labeled O. The center of the circle is above the xaxis and to the right of the yaxis. The coordinates of the center of the circle are h comma k. The circle crosses the xaxis at the point with coordinates 4 comma 0, and the point with coordinates 20 comma 0.
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Question 31.
In the preceding x yplane, the circle has center (h, k) and radius 10. What is the value of k?