Answer:
If you place two collinear points, then they will fall on the same line
Step-by-step explanation:
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I dont think the answer is 129 unless you typed the problem in wrong. Order of operations say to do everything inside the perenthesis first so you would do the 3*2 which is 6 then divide the 12 by 6 and you get 2. so your new equation is 8^2+9(2)-7. Next distribute the 9 to the 2 that is inside the perenthesis. Square root the 8 also. Now it is 49+18-7. The answer would be 60 ...?
C) The volume of the large cone is 3 times the volume of the small cone.
Step-by-step explanation:
Step 1:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius of the large cone is 1.5 inches and the height is 4 inches.
The volume of the larger cone 
So the volume of the larger cone is 9.4245 cubic inches.
Step 2:
Now, we determine the volume of the small cone.
The radius of the small cone is 1 inch and the height is 3 inches.
The volume of the small cone 
So the volume of the smaller cone is 3.1415 cubic inches.
Step 3:
Now we divide the values on the volume of the large cone by the volume of the small cone.
The volume of the large cone by the volume of the small cone
So the volume of the large cone is 3 times the volume of the small cone which is option C.
1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
The answer is D.
Hope this helps!
