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:

Step-by-step explanation:
There are two operations involved:
Vertical translation:
(1)
Note: Positive sign represent a translation upwards.
Horizontal translation:
(2)
Note: Positive sign represent a translation leftwards.
Then, the new function must be:


the correct answer would be 4 3/4
hope this helps!
lmk if you would like an explanation! :)
Answer:
24/ 23
Step-by-step explanation:
To find the slope of a line passing through 2 points
m = (y2-y1)/(x2-x1)
= (11 - -13) /( 19 - -4)
= (11+13)/(19+4)
= 24/ 23