Page 590 - Algebra 1

*24. Error Analysis Two students use the distance formula to find the length of the line (86) segment with endpoints (-1, 6) and (4, -2). Which student is correct?
Explain the error.
*25. Geometry A midsegment of a triangle is a line segment joining the midpoints of (86) two sides of the triangle. A triangle has vertices at P = (3, 2), Q = (3, 8), and
Student A
d = √(4 + 1)2 + (-2 - 6)2
d = √ 2 5 + 6 4 d = √ 8 9
Student B
d = √(4 - 1)2 + (-2 - 6)2
d = √ 9 + 6 4 d = √ 7 3
R = (7, 6).
a. Find the endpoints M and N of the midsegment that joins sides PQ and QR.
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b. Verify Show that the length of the midsegment MN is half the length −−
26. Multi-Step Use a coordinate plane to model the following situation in a football
(86) game: A quarterback is on the 25 yard line at (25, 10); he has two receivers, one at
(30, 40) and the other at (50, 20).
a. Find the quarterback’s distance to the receiver at (30, 40). Give your answer to
the nearest yard.
b. Find the quarterback’s distance to the receiver at (50, 20). Give your answer to the nearest yard.
c. Which receiver is closer to the quarterback?
*27. Multi-Step The area of a right triangle is x2 + 2x. The base, b, equals x + 2. What is (87) the length of the height, h?
a. Write the formula for the area of a triangle given the base and height. b. Set the area equal to the product of the base and the height.
c. Factor.
d. Divide by the length of the base to find the length of the height.
*28. Write Is a binomial also a polynomial? Explain. (87)
*29. Formulate Write an expression to show the price of 2 discounted books when the (87) first one is 20 + n and each one after that is (20 + n)(n - 5).
*30. Cost The baseball team gets new uniforms. The first group of 5 costs y2 + 5 (87) dollars, and after that, each group of 5 costs y + 1 dollars. How much do the
uniforms cost if the team buys 15?
of PR.
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Lesson 87 575