33. What does equal in the solution of the system of equations below? 33 – 4y - z= 14 2r + 3y - 32 = 17 x + 2y + x = 20 10 04 -10 O-4​

9514 1404 393

  (a) 10

Step-by-step explanation:

Attached is a graphical solution using "substitution." An expression was written for z using the first equation, and it was substituted into the remaining two equations. This gave two equations in x and y, easily solved graphically.

We found x = 10, y = 3, so ...

  z = 3(10) -4(3) -14 = 30 -12 -14 = 4

The whole solution is (x, y, z) = (10, 3, 4).

You visualize the problem like a quarter of a circle with radius 70 feet. and you want to determine the arc length. the arc length, denoted as s, has the following formula:

s = r*theta

where theta is the angle opposite the arc. since one revolution of a circle is 2*pi, a quarter would be pi/2. then,

s = 70*(pi/2)
s = 109.96 feet

the distance would be 109.96 feet.