Formula for distance between two points:
d = √((x₂-x₁)² + (y₂-y₁)²)
Let point 1 be (-3, 11) and point 2 be (5, 5)
Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.
d = √((x₂-x₁)² + (y₂-y₁)²)
= √((5- -3)² + (5-11)²)
= √((5+3)² + (5-11)²)
= √((8)² + (-6)²) 8² = 8*8 = 64, (-6)² = -6*-6 = 36
= √(64 + 36)
= √(100)
= 10
Distance = 10 units.
Standard form: 8x - y = -2
Answer:
25 gallons
Step-by-step explanation:
Assuming miles-per-gallon is a constant, the amount of gas is proportional to the miles driven:
gallons/(500 mi) = (13 gal)/(260 mi)
gallons = (500 mi)/(260 mi)(13 gal) . . . . multiply by 500 mi
gallons = 25 gal . . . . do the arithmetic
The van will need 25 gallons of gas to go 500 miles.
