Answer:
3, and -3
Step-by-step explanation:
Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!
Total volume is volume of cylinder+volume of cone
Volume of cylinder=pi*r^2*h
V=pi*6^2*14
V=1582.56
Volume of cone=pi*r^2*h/3
V=pi*6^2*6/3
V=226.08
1582.56+226.08=1808.64 or 1808.6 cubic inches
#3
2 and three are supplementary angles .
#4.
The answer is opposite angles .
#5
Bisected angles are equal
Now
m<ABC
If the slopes of the 2 lines are equal then they are parallel.
If m1m2 = -1 (where m1 and m2 are the slopes of the 2 lines) then they are perpendicular.
If the 2 slopes do not match either the first or second conditions then they are neither parallel or perpendicular.
If M is the midpoint of PQ, then PM and MQ are equal.
As PM and MQ are given , equal them to each other to solve for x.
7x+8=5x+20
Subtract 5x on both sides to get 2x+8=20
Subtract 8 on both sides to get 2x=12
divide by 2 on both sides to get x=6
Use the value of x=6 and plug it into the equations for PM and MQ to find their value.
PM=7x+8
=7(6) 8 =42 + 8 = 50
(you can already tell MQ is also 50 as PM and MQ are equal, but we still solve for MQ just for the fun of it)
MQ=5x + 20
=5(6) +20=30+20=50
PM=50
MQ=50
PQ= PM + MQ= 50 + 50 = 100
Have a great night.
