<span>a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.</span>
Answer:
D) Only (-1,9) is a solution.
Step-by-step explanation:
x+y =8
x^2 + y = 10
Lets check the first point (-1,9)
Put in x =-1 y =9
x+y =8
-1+9 = 8
8 =8
This works
x^2 + y = 10
(-1)^2 +9 =10
1+9 = 10
10 = 10
This works
Lets check the second point (-2,6)
Put in x =-2 y =6
x+y =8
-2+6 = 8
4=8
This does not work
We can stop now. (-2,6) cannot be a solution
Answer:
Only option C shows a function
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.
In option A, a vertical line would cross two values, so it is not a function.
The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.
Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.
Answer:
Step-by-step explanation:
Speed = distance travelled/time
A horse ran 800 m in 40 seconds. This means that the speed is
800/40 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
1200/60 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
480/24 = 20 m/s
Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.
Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.
Let d represent the distance in meters.
Let t represent the time in seconds.
Therefore
d = 20t
