The answer is either 
or 
To solve: Let's solve your equation step-by-step.
5x2+5x−x2−x=2004
Step 1: Simplify both sides of the equation.
4x2+4x=2004
Step 2: Subtract 2004 from both sides.
4x2+4x−2004=2004−2004
4x2+4x−2004=0
Step 3: Use quadratic formula with a=4, b=4, c=-2004.
x=
−b±√b2−4ac
/2a
x=
−4±√32080
/8
or
A midsegment is given by the formula:
Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:
This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:
We can do the following:
This simplifies to
:)
The answer is 48π units³ or 150.72 units³.
To find the volume of the cone, use the formula : <u>1/3 × πr²h</u>
We are given that r = 6 and h = 4.
Solving :
- V = 1/3 × π × 6² × 4
- V = 12 × 4 × π
- V = 48π units³ (in terms of π)
- V = 150.72 units³
