When comparing answers on a group assignment, Jenny and Jeremy found their answers did not match
1 answer:
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Answer:
(-5, -3)
Step-by-step explanation:
To graph the two equations, you can look at two things, the slope and the y-intercept.
The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.
In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.
For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.
I've attached a graph below if you need it.
The rotation about UG would generate a hemisphere of radius 8. The volume of a sphere with radius is
, so the volume of the hemisphere would be
.