Answer:
The equation of the line in the slope-intercept form is:
Step-by-step explanation:
The slope-intercept form of the equation of a line is
As y intercept is -8, we have
Since the line is parallel to 
, then it has the same slope.
Let's put this equation in form and find the slope
Thus, the slope is :
Now we can finish the equation of the line in the slope-intercept form
∵ , b = -8
Therefore, the equation of the line in the slope-intercept form is:
A perfect number is a number where the sum of its divisors is equal to the number.
For example 6: 1 + 2 + 3 = 6
Another example is 28: 1 + 2 + 4 + 7 + 14 = 28
Here is a short list of perfect numbers: 6, 28, 496, 8128, <span>33550336, and the numbers get way bigger as we go on.</span>
The answer is 377.5, you would times 750 by 9%. Whatever the answer to the equation is, you take the answer and times that by 5.
Answer:
30 meters per second
Step-by-step explanation:
The volume of a square pyramid is (1/3)(area of base)(height of pyramid).
Here the area of the base is (10 ft)^2 = 100 ft^2.
13 ft is the height of one of the triangular sides, but not the height of the pyramid. To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft. That "middle" is 5 units straight down from the upper vertex. Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft). What is the height of the pyramid?
To find this, use the Pyth. Thm.: (5 ft)^2 + y^2 = (13 ft)^2. y = 12 ft.
Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
