Answer:
b. AD II DC
math is annoying, a lot of the stuff they teach we don't use in the real world lol
You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Answer:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.
Step-by-step explanation:
For this case we have the following info given:
and we can find the initial volume:
And replacing we got:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.
Answer:
x = -0.5
Step-by-step explanation:
5x - 5 = 9x + 3
add 5 on both sides to cancel out 5
5x = 9x + 8
take away 9x on both sides to cancel out 9x
-4x = 8
divide by -4 to get x
x = -0.5