Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
Answer:
undefined slope
Step-by-step explanation:
There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.
Let
x--------> the time in hours
y-------> the distance in miles
we know that
The speed is equal to
![Speed=\frac{distance}{time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
in this problem
![Speed=\frac{y}{x}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7By%7D%7Bx%7D)
![y=(Speed)*x](https://tex.z-dn.net/?f=y%3D%28Speed%29%2Ax)
<u>Equation First Train</u>
![y1=70x](https://tex.z-dn.net/?f=y1%3D70x)
<u>Equation Second Train</u>
![y2=80x](https://tex.z-dn.net/?f=y2%3D80x)
---------> equation ![1](https://tex.z-dn.net/?f=1)
Substitute the values of
and
in the equation ![1](https://tex.z-dn.net/?f=1)
![70x+80x=600](https://tex.z-dn.net/?f=70x%2B80x%3D600)
Solve for x
![150x=600](https://tex.z-dn.net/?f=150x%3D600)
![x=4\ hours](https://tex.z-dn.net/?f=x%3D4%5C%20hours)
therefore
<u>the answer is</u>
![4\ hours](https://tex.z-dn.net/?f=4%5C%20hours)
Answer:
the answer is 93.6
Step-by-step explanation: