Answer: Yes.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other sides.
Replacing with the values given:
c^2 = 16^2 + 12^2
c^2 = 256+144
c^2 = 400
c = √400
c = 20 miles
So, she is within the area serviced by the tower (20 miles)
Feel free to ask for more if needed or if you did not understand something.
Answer:
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Step-by-step explanation:
This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.
So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.
-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.
5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.
To right that in notation simply
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Cheers.
Graph 2 should be right because it moves up 1 because of the +1 that is in the parentheses.
Answer:
28.3 yards per hour
Step-by-step explanation:
36 inches=1 yard
17inches*1 yard =.47 yards
/36 inches
In one minute, the turtle moves .47 yards.
60 minutes=1 hour
60minutes * .47 yards =28.3 yards per hour
