Answer:
19 in.³
Step-by-step explanation:
We have been given that Jay created a model of a building from two rectangular prism. One building has a volume of 15 Cubic inches. The model had a total volume of 34 in.³ We are asked to find the volume of the other building.
We know that total volume of model will be equal to sum of volume of two buildings.
Therefore, the volume of the other building is 19 in.³
Answer:
Step-by-step explanation:
1/2 (n^3 - 1)
the difference means subtract
(x+2)/(x-3) is already a rational function with a linear binomial in both the numerator and denominator...
The vertical asymptote occurs when the slope is undefined, in this case when you have division by zero, when x=3. So the vertical asymptote is about the vertical line x=3.
The horizontal asymptote occurs about the horizontal line about the line y=k which f(x) approaches, but does not equal as x approaches ±oo. Which in this case is relatively intuitive, but if you weren't sure, you could divide all terms by the highest power of x, in this case:
(x/x+2/x)/(x/x-3/x) as x approaches oo is
(1+0)/(1-0)=1, so the horizontal asymptote is about the horizontal line y=1
The y-intercept occurs when x=0 so:
f(0) is just 2/-3=-2/3, so the y-intercept is the point (0, -2/3)
Area of rectangle = x(x+2) = x^2 +2x
area of triangle = x*2/2 = x
so the shaded fraction of the rectangle will be x(x+2)/(x+2)=x
