a. The center of the circle will be the coordinate point of the marked point inside the circle.
center: (3,-5)
The radius is the distance between the center and any point on the circle.
radius: 4 units
b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center
standard form: (x-3)²+(y+5)²=16
c. Simplify equation in standard form to get general form.
(x-3)²+(y+5)²=16
x²-6x+9+y²+10y+25=16
general form: x²+y²-6x+10y+18=0
Hope u find this useful!
The slope of the line l is the opposite reciprocal of y+2x=9. Rearranged the equation to y=9-2x and we get a slope of -2. The opposite reciprocal of -2 is 1/2.
y-y=m(x-x)
y-3=.5(x-4)
y=.5x+1
At the x-intercept, y=0, so
0=.5x+1
-1=.5x
x=-2
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
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The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
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<em>Additional comment</em>
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
Try 18mm that should be the answer
