Answer:

Step-by-step explanation:
we know that
The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone
so

we have


substitute



So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!
Answer:
-11
- 4c
Step-by-step explanation:
You have to distribute the -c to both of the numbers in the parentheses, so the eleven would become negative, and c multiplied by c is c squared. The positive 4 becomes negative 4, and 4 times c is 4c. Hope that helps!
Answer:
The intersection point of diagonals is (0.5,-4.5).
Step-by-step explanation:
The end points of first diagonal are p(-3, -2) and i(4, -7).
The end points of second diagonal are a(4, -2) and d(-3, -7).
If a line passing through two points, then the equation of line is

The equation of first diagonal is




.... (1)
The equation of second diagonal is




.... (2)
Add equation (1) and (2),


Put this value in (1).


The intersection point of diagonals is (0.5,-4.5).
there would have to be a table here so i could see