Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the y-intercept from the graph, write the slope-intercept form of the equation of the line.
A. y = x + 4
B. y = x - 4
C. y = - x + 4
D. y = - x - 4
Answer: B
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Solve the problem.From a thin piece of cardboard 10 in. by 10 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
A. 6.7 in. × 6.7 in. × 3.3 in.; 148.1 in3 B. 5 in. × 5 in. × 2.5 in.; 62.5 in3 C. 3.3 in. × 3.3 in. × 3.3 in.; 37 in3 D. 6.7 in. × 6.7 in. × 1.7 in.; 74.1 in3
Solve the given applied problems involving variation.The time in hours it takes a satellite to complete a circular orbit about the earth varies directly as the radius (from the center of the earth) of the orbit and inversely as the orbital velocity. If a satellite completes an orbit above the earth in
at a velocity of
how long would it take a satellite to complete an orbit if it is circling 1700 km above the earth at
src="https://sciemce.com/media/4/ppg__text0424191335__f1q21g4.jpg" alt="" style="vertical-align: -4.0px;" /> (Assume the radius of the earth is
A. 580 min
B. 120 min
C. 220 min
D. 190 min
Solve the problem.The numbers on the right in the equations below are the hexagonal numbers. Write the next two equations in the sequence: 1 = 1 1 + 5 = 6 1 + 5 + 9 = 15 1 + 5 + 9 + 13 = 28 =
=
A. 1 + 5 + 9 + 13 + 15 = 43 1 + 5 + 9 + 13 + 15 + 17 = 60 B. 1 + 5 + 9 + 13 + 19 = 47 1 + 5 + 9 + 13 + 19 + 27 = 74 C. 1 + 5 + 9 + 13 + 17 = 43 1 + 5 + 9 + 13 + 17 + 21 = 60 D. 1 + 5 + 9 + 13 + 17 = 45 1 + 5 + 9 + 13 + 17 + 21 = 66
Solve the problem.Find the dimensions of a rectangle whose perimeter is 32 feet and whose area is 60 square feet.
A. 6 ft by 10 ft B. 5 ft by 9 ft C. 7 ft by 9 ft D. 5 ft by 11 ft