The digit 2 is in the ten thousands place
Answer:
The quadratic equation is x^2 -12x -120 = 0
where x represents the length of the field
Step-by-step explanation:
We want to make an expression in terms of a quadratic equation;
Let the length of the field be x mm , then the width will be (x-12) mm
Mathematically , the area of the field will be L * B
Thus;
x * (x-12) = 120
That gives;
x^2 -12x = 120
x^2 -12x -120 = 0
3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0
so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08
so other root is approximately -1 -2.08 = -3.08
the other intercept is at (-3.08,0)
Gas mileage = 30.5 mi/gal
Volume of gas = 1.5 l
Note that 1 liter = 0.264172 gallons
Therefore
1.5 l = (1.5 l)*(0.264172 gal/l) = 0.3963 gal
Distance traveled is (Gas mileage, mi/gal)*(Gal of gas)
= (30.5)(0.3963) = 12.087 mi
Answer: 12 mi (nearest integer)
