Answer:
Domain={-2,2,3,5}
Range={-3,1,7,12}
Step-by-step explanation:
The given ordered pairs are (5,12)(3,-3),(-2,7)(2,12)(5,1).
The domain refers to the set of all the first coordinates(x-values).
Domain={-2,2,3,5}
The range refers to the set of all the second coordinates (y-values).
Range={-3,1,7,12}
Note that, we do not repeat elements in a set.
Do not list the 5 in the domain twice.
The same applies to the 12 in the range
Answer:
its 1.8
Step-by-step explanation:
Answer:
- plane: 530 mi/h
- wind: 40 mi/h
Step-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
Answer:
6 ft longer (total length of 15ft)
Step-by-step explanation:
the initial dimensions are:
length: 
width: 
the area area of the garden is given by:

so the original area is:

Since we need the area to be
, and we can only change the length, the width will still be 8ft.
We substitute the value of the new area and the width to the equation for the area:

and we clear for the new length:

The length of the garden for the area to be
, must be 15ft.
This means that if originally the length was 9 ft, now it has to be 6 ft longer.
Answer: 180 degrees
Step-by-step explanation:
A rotation of 180 degrees about the origin maps
.