Answer:
3 cm
Step-by-step explanation:
First, find the volume of the cone.
V = 
r²h
V = (3.14)(9)(12)
V = 113.04
This means the sphere is also 113.04
Use the formula V = 
r³
113.04 = (3.14)r³
113.04 = 4.19r³
26.98 = r³
3 ≈ r
You could simplify this work by factoring "3" out of all four terms, as follows:
3(x^2 + 2x - 3) =3(0) = 0
Hold the 3 for later re-insertion. Focus on "completing the square" of x^2 + 2x - 3.
1. Take the coefficient (2) of x and halve it: 2 divided by 2 is 1
2. Square this result: 1^2 = 1
3. Add this result (1) to x^2 + 2x, holding the "-3" for later:
x^2 +2x
4 Subtract (1) from x^2 + 2x + 1: x^2 + 2x + 1 -3 -1 = 0,
or x^2 + 2x + 1 - 4 = 0
5. Simplify, remembering that x^2 + 2x + 1 is a perfect square:
(x+1)^2 - 4 = 0
We have "completed the square." We can stop here. or, we could solve for x: one way would be to factor the left side:
[(x+1)-2][(x+1)+2]=0 The solutions would then be:
x+1-2=0=> x-1=0, or x=1, and
x+1 +2 = 0 => x+3=0, or x=-3. (you were not asked to do this).
Sub in 2 for x and solve for y
x + 3 = y
2 + 3 = y
5 = y
so ur points are : (2,5)
Answer:
0.315 per lb
Step-by-step explanation:
Answer:
x=−2−√5 or x=−2+√5
Step-by-step explanation:
-5x2 - 20x + 35 = 30
Answer = x=−2−√5 or x=−2+√5
