A pipe needs to run from a water main, tangent to a circular fish pond. On a coordinate plane, construct the circular fish pond at a given location and specify your center point and radius. Write your circular fish pond equation. On your coordinate plane, identify the point to represent the location of the water main connection. Construct the pipe so that it is tangent to the fish pond from the water main. Include all steps to creating a tangent line, as discussed in this lesson. Submit your final graph. You may do this by hand, using a compass and straightedge, or using a graphing software program. (radius is 6) Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences. Give an example of tangents in the real world that have not been presented in this lesson. Explain how you know the tangent and the radius in your example are perpendicular.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

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step-by-step explanation:

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step-by-step explanation: