Find the slope of the line that contains the points named. x(2, -1), y(0, 4) 5/2 2/5 -5/2
2 answers:
Answer: The correct option is (D)
Step-by-step explanation: We are given to find the slope of the line that contain the points x(2, -1) and y(0, 4).
We know that
the slope of a line that contain the points (a, b) and (c, d) is given by
Therefore, the slope of the given line will be
Thus, the slope of the given line is
Option (D) is CORRECT.
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Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = shifting/min
Rate of Smaller Belt = shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = shifting/min
Now,
+
=
⇒
⇒
⇒10x = 24
⇒x = = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.