Answer:
Option D.
Step-by-step explanation:
The slope of a horizontal line is 0.
It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.
It means the rate of change of function 1 is 0.
The slope intercept form of a linear function is 1
where, m is slope and b is y-intercept.
The function 2 is 2
On comparing (1) and (2), we get
The rate of change of function 2 is 8.
The difference between rate of change is
The rate of change of function 2 is 8 more than the rate of change of function 1.
Therefore, the correct option is D.
For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:

Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:

Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.

Answer:
u = -2
Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2
Hope this helps :)
The area of the trapezoid is the product of the height and the average of the two bases:
<span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>
<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>
<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
Answer:
2(a+2b+15)
Step-by-step explanation:
hope this helps!