Answer:
C.)-5
Step-by-step explanation:
y2-y1/x2-x1
(-9,6) (-6,-9)
-9-6=-15
-6-(-9)=3
-15/3=-5
Answer:

Step-by-step explanation:
<u>Given</u>
<u />
<u>Swap x and y and solve for y</u>
<u />
<u>Final answer</u>
<u />
Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.
Answer:
4. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Player 1's position is (-3, 5).
It means that it is 3 units left from the origin and 5 units above the origin.
Player 2's position is (3, 5).
It means that it is 3 units right from the origin and 5 units above the origin.
Hence, the two points are on the same horizontal line bisected by the y-axis.
So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
