Answer:

Step-by-step explanation:
1. Distribute the X across the equation: 
2.
3.
3.
C = 2<span>πr
C = 2 * 3.14 * 5.1
C = 32.028
You can round that to A. 32.03, because if the decimal after 2 is greater than it, then you round it to the number which is higher than it, which is 3. </span>
Answer:
Option (4)
Step-by-step explanation:
Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).
Slope of XY (
) = 
= 
(
) = 
Similarly, slope of XZ (
) =
(
) = (-1)
Which should be (-1) if XY and XZ are perpendicular to each other.
Now we can say that XY and XZ are not perpendicular.
Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.
Option (4) will be the answer.
Answer:
Step-by-step explanation:
- Speed in one direction = 40 km/h
- Speed on return = x
- Average speed = 60 km/h
Let the distance be d
<u>Average speed </u>
- 2d/(d/40 + d/x) = 60
- d/40 + d/x = 2d/60
- 1/40 + 1/x = 1/30
- 1/x = 1/30 - 1/40
- 1/x = (4-3)/120
- 1/x = 1/120
- x = 120 km/h
3-5w+12+2w-3
(3+12-3)=12
(-5w+2w)=-3w
-3w+12