(x^2+3x^2-10x-24)/(x+2)
(4x^2-10x-24)/(x+2)
4x^2-10x-24=0
2x^2-5x-12=0
2x^2-5x-12/(x+2)
2x=(2x^2-5x)-(2x^2+4x)>>-9x-12
2x-9=(-9x-12)-(-9x-18)
2x-9=6
4x-18=12>>4x-6
(x-4)(2x+3) is the factorization
Answer is 5/29. Because 3/29 + 2/29=5/29
Stefanie swam 1/3 further in the morning.
4/5 - 7/15
12/15 - 7/15 = 5/15
5/15 = 1/3
Answer:

Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:


The numerical value of the slope is:

The component of the y-axis is:

Now, the tangent line has the following mathematical model:

The value of the intercept is found by isolating it within the equation and replacing all known variables:


Thus, the tangent line is:

The vertical distance between a point of the tangent line and the origin is given by the intercept.

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:




The area of the triangle is computed by this formula:



Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 / 2.3094
Area of the Base = 41.5692387633
Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72
Total Area = 41.5692387633 + 72
Total Area = 113.5692387633