Answer: p = 6
Step-by-step explanation:
HI !
px + 3y - ( p-3)=0
a₁ = p , b₁ = 3 , c₁ = - (p-3)
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12x + py - p=0
a₂ = 12 , b₂ = p , c₂ = -p
since , the equations have infinite solutions ,
a₁/a₂ = b₁/b₂ = c₁/c₂
p/12 = 3/p = p-3/p
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p/12 = 3/p
cross multiply ,
p² = 36
p = √36
p = 6
for the value of p = 6 , the equations will have infinitely many solutions
Answer:
11 shelves are needed
Step-by-step explanation:
Given that:
Number of books to put on shelf = 72
Number of books per shelf = 7
Number of shelves required for all books :
Total number of books / number of books per shelf
= 72 / 7
= 10. 285
Since, only 7 books can be put on a shelf, then with 10 shelves, there will be 2 books left, hence 1 more shelf will be needed.
11 shelves are needed
We can model the trip of the clock hand as shown in the picture below:
The clock hand is of the same length, '
' and it forms a right-angle triangle from 1:15 to 1:30
We can use the Pythagoras theorem to find the length of the minute hand
Answer : 10.6 (to the nearest tenth)