Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Algebra and Trigonometry (MindTap Course List)
46E47E48E49E50E51E52E53E54E53-56 Families of Lines Use a graphing device to graph the given family of lines in the same viewing rectangle. What do the lines have in common? y=m(x3)form=0,0.25,0.75,1.556E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85ETangent Line to a Circle Find an equation for the line tangent to the circle x2+y2=25 at the point (3,4).see the figure. At what other point on the circle will a tangent line be parallel to the tangent line in part a?87E88E89E90ETemperature Scales The relationship between the Fahrenheit F and Celsius C temperature scales is given by the equation F=95C+32. Complete the table to compare the two scales at the given values. Find the temperature at which the scales agree. Hint: Suppose that a is the temperature at which the scales agree. Set F=a and C=a. Then solve for a C F 30 20 10 0 50 68 8692EDepreciation A small business buys a computer for 4000. After 4 years the value of the computer is expected to be 200.For accounting purposes the business uses linear depreciation to access the value of the computer at a given time. This means that if V is the value of the computer at time t, then a linear equation is used to relate V and t. a Find a linear equation that relates V and t b Sketch a graph of this linear equation. c What do the slope and v-intercept of the graph represent? d Find the depreciated value of the computer 3 years from the date of purchase.Pressure and Depth At the surface of the ocean the water pressure is the same as the air pressure above the water, 15lb/in2. Below the surface the water pressure increases by 4.34lb/in2 for every 10ft of descent. Find an equation for the relationship between the pressure and depth below the ocean surface. Sketch a graph of this linear equation. What do the slope and y-intercept of the graph represent? At what depth is the pressure 100lb/in2?95E96E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E47-50 Quadratic Formula Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x21.800x+0.810=051E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70EDimensions of a Garden A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400ft2.Geometry Find the length x if the shaded area is 160in2.73EProfit A small-appliance manufacturer finds that the profit P in dollars generated by producing x microwave ovens per week is given by the formula P=110x(300x) provided that 0x200. How many ovens must be manufactured in a given week to generate a profit of 1250?Dimensions of a Box A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 100in3. How big a piece of cardboard is needed?Dimensions of a Can A cylindrical can has a volume of 40cm3 and is 10cm tall. What is its diameter? Hint: Use the volume formula listed on the inside front cover of this book.Dimensions of a Lot A parcel of land is 6 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 174 ft long. What are the dimensions of the parcel?Height of a Flagpole A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal is equal to the length of one guy wire. How tall is the flagpole to the nearest inch?79E80E81ESpeed of a Boat Two fishing depart a harbour at the same time, one traveling east, the other south. The eastbound boat travels at a speed 3mi/h faster than the southbound boat. After two hours the boats are 30 mi apart. Find the speed of the southbound boat.83E84E85E86E87E88E89EReach of a Ladder A 1912ft leans against a building. The base of the ladder is 712ft from the building. How high up the building does the ladder reach?91E92EGravity If an imaginary line segment is drawn between the centers of the earth and the moon, then the net gravitational force F acting on an object situated on this line segment is F=Kx2+0.012K(239x)2 Where K0 is a constant and x is the distance of the object from the center of the earth, measured in thousands of miles. How far from the center of the earth is the dead spot where no net gravitational force acts upon the object? Express your answer to the nearest thousand miles.94E95EThe imaginary number i has the property that i2=___________.2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38EQuotients Evaluate the quotient, and write the result in the form a+bi. 2-3i1-2i40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86ECONCEPTS a To solve the equation x34x2=0, we _________ the left-hand side, b The solutions of the equation x2(x4)=0 are _______2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E37-48 Equations Involving Radicals Find all real solutions of the equation. x-x-1=346E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E