Answer:
-1/6 and 1 1/6
I included an image showing the points to select, in red and the point we start at, in blue.
Step-by-step explanation:
We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.
1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.
So 1/2 is actually 3/6 on the number line.
Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.
Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.
These numbers are -1/6 and 1 1/6
I hope this helps!!
Lmk if u have any questions! :)
Pic is attached below.
Answer:
a. there are sometimes infinitely many solutions to the system
b. will always have one solution
c. There is never any solution for the system
Step-by-step explanation:
22a If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions. So there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines
b If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution
c. If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect. There are no solutions when they never intersect. There is never any solution for the system
Answer:
The volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Step-by-step explanation:
We are given a base diameter of a right circular cylinder as :
d = 17.5 ft.
hence radius of cylinder i.e. r =d/2 = 8.75 ft.
height of the cylinder = 24.5 ft.
now we know that volume of cylinder i.e. V is given by :
V = πr²h
putting the value of r and h in the given formula to obtain the volume
V = 3.14×(8.75)²×24.5
= 5889.95 ft³
hence, the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
It is always negative, because it keeps going down on the number line. Say it is negative 8 minus 5, it would be negative 13, because it adds to the negatives, so it would go deeper into the negatives.
Answer: x = 2/3
Step-by-step explanation:
