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
H is the number of hours worked. So the expression 200h+250 is 200 times the number of hours plus 250.
Here's a few computations using different values for h
1 hour --> (200)(1)+250 = 450
2 hours --> (200)(2) + 250 = 650
3 hours --> (200)(3)+250 = 850
10 hours --> (200)(10)+250 = 2250
As you can see the 250 is fixed. It gets added to the cost no matter how many hours the lawyer works. This is most likely a flat fee. Just to meet the lawyer you pay $250.
The 200 gets multiplied by the hours worked. So the 200 is an hourly rate. The more hours the lawyer works, the more he gets paid because this part of the expression depends on the hours worked.
Thus, an interpretation of the expression 200h + 250 is that the lawyer charges a fee of $250 per consultation and an additional $200 per hour on top of that.
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
Answer: 544 ft²
Step-by-step explanation: 17*32=544 and ft*ft=ft² so it is 544 ft²
Answer:
6895ft
Step-by-step explanation:
Given data
The coordinates
City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2
Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8
Required:
the distance between the two points
Applying the Pythagorean theorem as
we can find the distance by substituting the given point coordinates

in feet, we are told that a unit is 500 ft
then 13.79 will be 500*13.79
=6895.107ft
=6895ft