Solve.2x2 + y2 = 173x2 - 2y2 = -6
A. (1, 3) and (-1, -3)
B. (2, 3), (2, -3), (-2, 3), (-2, -3)
C. (1, 3), (1, -3), (-1, 3), (-1, -3)
D. (2, -3) and (-2, 3)
Answer: B
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Give a geometric description of the set of points whose coordinates satisfy the given conditions.x2 + y2 + z2 = 64, z = 2
A. All points within the sphere x2 + y2 + z2 = 64 and above the plane z = 2 B. All points on the sphere x2 + y2 + z2 = 64 and above the plane z = 2 C. The sphere x2 + y2 + z2 = 4 D. The circle x2 + y2 = 60 in the plane z = 2
Use a system of linear equations to solve the problem.Two angles have a sum of 193°. One angle is 20° less than twice the other. Find the measure of each angle.
A. 118° and 75° B. 71° and 122° C. 69° and 124° D. 69° and 118°
Solve the problem.Although the number of people arrested for arson has remained fairly constant during the 1990s, the percent of arson arrests that have been juveniles has been on the rise. The data is printed in the table below.
(Source: U.S. Justice Department)Let P represent the percent of arson arrests that are juveniles at t years since 1990. The equation 
models the data well.i) Use the linear model to predict when 75 percent of arson arrests will be juveniles.ii) Use the linear model to estimate the percent of arson arrests that were juveniles in 1985.iii) Find
the t-intercept. What does it mean in terms of arson arrests?iv) What is the slope of the equation P = 1.83t + 44.76? What does the slope represent in terms of arson arrests?v) Find the P-intercept. What does it mean in terms of arson arrests?vi) Find P when t = 10. What does your result mean in terms of the situation?vii) Find t when P = 100. What does your result mean in term of the situation? What will be an ideal response?
Perform the indicated operations and simplify. Assume all variables represent positive real numbers.10
+ 10
+ 3
A. 151
B. -151
C. 10
D. 71