Provide an appropriate response.Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

What will be an ideal response?


When x < 0, then y < 0 and the graph contains points in quadrant III. When 0 < x < 5, then y < 0 and the graph contains points in quadrant IV. When x > 5, then y > 0 and the graph contains points in quadrant I.

Mathematics

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Find the angle between u and v in radians.u = -5i - 7j, v = 9i + 10j + 5k

A. 1.99 B. 2.77 C. -1.20 D. 1.58

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The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).xy = 1

A. r2 sin 2? = 2 B. r sin 2? = 2 C. 2r2 sin ? cos ? = 1 D. 2r sin ? cos ? = 1

Mathematics

Determine whether the inequality is a true statement.22 ? 18

A. True B. False

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Solve the problem. Round to the nearest cent.Cindy will require $12,000 in 5 years to return to college to get an MBA degree. How much money should she ask her parents for now so that, if she invests it at  compounded continuously, she will have enough for school?

A. $3994.45 B. $7121.42 C. $6923.40 D. $20,799.04

Mathematics