Jeopardy

Planes

100

Whats is Z and does it add up to 360 degrees.If x=111 y=95 whats is Z

Yes and Z equals 154

200

Write an equation of a plane through P(1,0, −1) with normal vector n = (2,2, −1)

2(x − 1) + 2(y − 0) + (−1)(z + 1) = 0

300

Write an equation of a plane through P(5,1,4) and parallel to the plane with equation x + y − 2z = 0.

Thus the two planes has parallel normal vectors, and so we can use n = (1,1, −2) as a normal vector of both planes. The answer is (x − 5) + (y − 1) + (−2)(z − 4) = 0.

400

Write an equation of a plane through A(1,0, −1) B(3,3,2) and C(4,5, −1).

Thus the equation of the plane is 3(x − 1) + 9(y − 0) + (z + 1) = 0.

500

Write an equation of a plane through A(1, −2,3) and containing the line L : x = 3 − 2t, y = 2 + 4t, z = 5 − 4t.

−6(x − 1) + (y + 2) + 4(z − 3) = 0.

Linear Equations

100

What is 2x+4=10

x=3

200

What is 5x-(6+8x)=24

x=6

300

What is 6r+7-5+(8r-1)=71

r=5

400

What is 2r+8-(4+6r)=12

r=-2

500

What is 10x*4*5x*8=40000

x=5

Slope Intercept

100

Find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6).

y=4x–2

200

4x + 3y = 12 Rewrite this equation in slope intercept form.

The equation is now in slope intercept form. The y intercept is (0,4) and the slope is -4/3.

300

5x - 3y - 15 = 0 Rewrite this equation in slope intercept form.

The equation is now in slope intercept form. The y intercept is (0,-5) and the slope is 5/3.

400

What is Given m = 2 and b = 5, write the slope intercept form

The equation is y = 2x + 5

500

Find the equation of the line that passes through the points (–2, 4) and (1, 2).

y=(–2/3)x+8/3