The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is
( ((x1 + x2) /2), ((y1 + y2)/2) )
So here the point is
( (-2+6)/2), (-6+12)/2) )
= (2, 3)
So it's the second option
The number of 30- period until the value if the give card be equal is 20 30- day period
<h3>How to write and solve equation</h3>
let
- Number of 30- day period = x
Card 1:
50 - 2x
Card 2:
40 - 1.50x
50 - 2x = 40 - 1.50x
50 - 40 = -1.50x + 2x
10 = 0.50x
- divide both sides by 0.50
x = 10/0.50
x = 20
In conclusion, it will take 20 30- day period until the value of the given card can be equal.
Complete question:
Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.
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56 cards left
10 cards in each pack (8 packs)
3 cards taken away from 8 packs is a total of 24 cards taken away.
8 times 10 is 80. 80 total cards.
80 take away 24 is 56.
Given
The equation in the form

Find the factor of the above equation
To proof
factoring the above equation
we get

now sloving the equation we get the value
x² = 5
x² = -100
The factor of the equation is

Hence proved