Page 444 - Algebra 1

*21. Coordinate Geometry What kind of quadrilateral is the figure WXYZ? Justify (65) your answer.
-4
y
O
Z Y
x
X -2 22. State whether the equation 5xy = 40 shows inverse variation. Write “yes” or “no”.
(64)
*23. Write If line a is parallel to line b, could you find a line that makes lines a and b a (65) reflection of each other? Explain.
*24. Analyze How many parallel lines can be found for the line y = 2x + 1? (65)
*25. Find the slope of a line that is parallel to the line 6x + 3y = 36. (65)
*26. Multi-Step Draw a coordinate grid, and number it from -5 to +5 along the x- and (65) y-axis. Will a line passing through the points (-4, 0) and (4, 2) be parallel to
y = -_1 x - 3? 4
a. Model Graph the points (-4, 0) and (4, 2).
b. Find the equation for the line that passes through both points.
c.Justify Istheliney=-_1x-3paralleltothelineyougraphed?Explain. 4
*27. Error Analysis Two students solved the given system of equations. Which (63) student is correct? Explain the error.
Student A
3y = 2x + 8
8x = -2y + 24 11x = 32
Student B
3y = 2x + 8
8x = -2y + 24 14y = 56
y = 4; (2, 4)
per second. At her maximum speed phase, she averages a speed of 6.6 meters per second. If she finishes a practice race in 18.1 seconds, how many meters long (to the nearest tenth of a meter) is her initial acceleration phase?
*29. Geometry The height h of a cylinder varies inversely with the area of the base B (64) when the volume is constant. If the height of a cylinder is 6 centimeters when the
area of the base is 12 square centimeters, what is the area of the base of the cylinder at right with the same volume?
30. Multi-Step Tyson often rides his bike 8 miles to visit a friend. His speed varies
(64) inversely with the time it takes to cover that distance. Today he rode at 16 mph to
get to his friend’s house, and then he rode at a rate of 12 mph to get home. How much longer did it take him to get home than to get to his friend’s house?
___ x = 2 10 ; (2 10 , 4 20 )
11 11 33
Suki is training in her wheelchair for the 100-meter race at the next
28. Paralympics
(63) Paralympics. In her initial acceleration phase, she averages a speed of 2.7 meters
W
4 2
2 cm
Lesson 65
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