Answer:
y = √(x - 3)
Step-by-step explanation:
The graph shown has exactly the same shape as does the graph of y = √x, EXCEPT that the entire graph of y = √x has been translated 3 units to the right. Thus, the function describing this graph is y = √(x - 3).
Answer:
yes
Step-by-step explanation:
LMN should be a right triangle
use pythagorean theorem
18^2+80^2=82^2
it is a right triangle
Answer:
x=$5400:8
$5400:8x = total loss after the owners contribution
Answer: The average rate of change is 6.First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.
v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12
v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30
You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is

. When you plug in the values from this particular case, the average rate of change formula becomes

, or

.
Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals
6.
Answer:
The dog's running area is approximately 942 feet².
Step-by-step explanation:
The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

The dog's running area is approximately 942 feet².