Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
Answer:
Step-by-step explanation:
The horizontal asymtote is when there are no solutions for x, so it is when y = -10.
This is because when y = -10, 0.8^x must be 0, but this is impossible. You can test this by trying 4^x/5^x. It will get super small, but never 0.
Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...
Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.
To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:
x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"
To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:
y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"
Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).
Therefore, the,
slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25
Answer:
Surface area: 18,144m
Volume: 139,968m³
Step-by-step explanation:
Surface area:
72x72 = 5184m on bottom, as well as top
5184+5184= 10368
27x72 for side length = 1944
1944 x 4 sides = 7776
7776+10368 = 18,144m surface area
Volume:
72x72x27 = 139,968m³
