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:
Depending on the length and width, it would be the length times the width.
Step-by-step explanation:
Answer:
y = -1/3 x
Step-by-step explanation:
what is the slope intercept form for x+3y=0
Slope intercept form solves for y:
x + 3y = 0
subtract x from both sides:
x + 3y - x = 0 - x
3y = -x
divide both sides by 3:
3y/3 = -x/3
y = -1/3 x
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Answer:
gradient 1/2, y-intercept 9
Step-by-step exp