MATH 49

Convert Ѳ = π/3 to Cartesian equation.

• A. x = √3 x

• B. y = x

• C. 3y = √3 x

• D. y =√3 x

The point of intersection of the planes x + 5y – 2z = 9, 3x – 2y + z = 3, and x + y + z = 2 is:

• A. (2, 1, -1)

• B. (2, 0, -1)

• C. (-1, 1, -1)

• D. (-1, 2, 1)

A warehouse roof needs a rectangular skylight with vertices (3, 0, 0), (3, 3, 0), (0, 3, 4), and (0, 0, 4). If the units are in meter, the area of the skylight is:

• A. 12 sq. m.

• B. 20 sq. m.

• C. 15 sq. m.

• D. 9 sq. m.

The distance between points in space coordinates are (3, 4, 5) and (4, 6, 7) is:

• 1

• 2

• 3

• 4

What is the radius of the sphere with center at origin and which passes through the point (8, 1, 6)?

• A. 10

• B. 9

• C.√101

• D. 10.5

If 16 is 4 more than 4x. Find 5x – 1.

• A. 14

• B. 3

• C. 12

• D. 5

Find the value of x in (x + 1)/3 + 2x/4 = 47 – 2x

• A. 16.47

• B. 12.87

• C. 18.27

• D. 20.17

Find the value of x in the equations:

10[A/x + A/y] = A

2[3(A/x) – 4(A/y)] = A

• A. 50/9

• B. 80/9

• C. 70/9

• D. 60/9

Find the values of x and y from the equations:

x – 4y +2 = 0

2x + y -4 = 0

• A. 11/7 , -5/7

• B. 11/9 , 8/9

• C. 14/9 , 8/9

• D. 3/2 , 5/3

Solve for the value of x and y,

4x + 2y = 5

13x – 3y = 2

• A. y = 1/2 , x = 3/2

• B. y = 3/2 , x = 1/2

• C. y = 2 , x = 1

• D. y = 3 , x = 1