Answer:
(-5.5, -5.5)
Step-by-step explanation:
x =
= -5.5
y =
= -5.5
midpoint = (-5.5, -5.5)
(a)
If by "age in years" you mean that you only consider whole years, then this is not a one-to-one function, because you will have the same output for 365 inputs:
- If you're 0 to 364 days old, your age in years is 0
- If you're 365 to 729 days old, your age in years is 1
- ....
So, you can see that it is not true that every different input yields a different output.
(b)
This is a one-to-one function: since one mile is 1.609 kilometers, you can convert miles per hour into kilometers per hour by multiplying by 1.609:
x mph = 1.609x km/h
The inverse function would be
x km/h = x/1.609 mph.
Answer:
c no is right answer ..................
Answer:
1)
2)
Step-by-step explanation:
1)
The two triangles are similar by AA similarity.
That means .
We can add to both sides to get .
We can then subtract from both sides to get .
We know that the because they both lie on a straight line.
We can plug in for to get .
We can divide both sides of the equation by to get .
We then add to both sides to get .
So, and we're done!
2)
Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to , we have that .
We can subtract a and an from both sides to get .
We then divide both sides of the equation by to get .
We do the same thing for . On the other side of the trapezoid, we have that .
We combine like terms on the left side to get .
We subtract a from both sides to get .
We divide both sides of the equation to get .
So, and we're done!