Answer:
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Answer: y=-1/5x+4
Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4
Answer: The distace between midpoints of AP and QB is
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB = 
Substituing:
AP + 2*(
) = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB = 
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:


<u>Midpoint of QB</u>:


The distance is:
d = 
d = 
This is pretty simple the first one is the second option the second one is the third option the third one is the third option and the fourth one is the first option
Answer:
900,000 books.
Step-by-step explanation:
The volume of the container = 24 * 9 * 8
= 1728 m^3
The volume of each book = 20*16*6 = 1920 cm^3
There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.
So the number of books the container can hold
= (1728 * 1000000) / 1920
= 900,000.