What figure are we looking for?
Answer:
b=20
c=160
Step-by-step explanation:
b has the same measurement as the other angle that is across from it. c is 160 because the line that c is on is a straight line so it is 180 degrees, you subtract the other angle on the line,20, then you get the answer.
Answer:
3.183.10^7
Step-by-step explanation:
Answer:
x = 9 or x = 0 or x = -2
Step-by-step explanation:
Solve for x:
3 x^3 - 21 x^2 - 54 x = 0
The left hand side factors into a product with four terms:
3 x (x - 9) (x + 2) = 0
Divide both sides by 3:
x (x - 9) (x + 2) = 0
Split into three equations:
x - 9 = 0 or x = 0 or x + 2 = 0
Add 9 to both sides:
x = 9 or x = 0 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 9 or x = 0 or x = -2
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
