Solve for x using the Master Product. 6x2 – 13x – 5 = 0
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Answer:
The coordinates of the gas station are (5, 9)
Step-by-step explanation:
As given,
George begins at (2,3), ends at (9,17), and stops at the gas station at (x,y). If the part to part ratio is 3:4
A P B
(2, 3) (x, y) (9, 17)
3 : 4
we use the Interval Division formula :
If P(x,y) lies on the interval A(x1,y1), B(x2,y2) such that AP:PB=a:b, with a and b positive, then
x=
y=
Here , (x1, y1) = (2, 3)
(x2, y2) = (9, 17)
a : b = 3 : 4
⇒ x= =
y= =
∴ The coordinates of the gas station are (5, 9)