ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
f = 38b - 122, since 38b means 38 times the value of b, then 122 is subtracted from that total giving you f.
You can spot a linear equation when the highest degree for a variable in the equation is 1.
E.g.
y = 2x +4
The highest power of x in this equation is 1, since variable x of the 2x is x is to the power of 1, and 4 is a constant where you can imagine it to have an x but to the power of 0.
E.g.
y=x^2 + 2x +4
In this case, this would be an quadratic equation because the highest power that the variable x has in this equation is 2 (x to the power of 2).
Answer:
1 7/20
Step-by-step explanation:
well 27/20 is 1 and 7/20
make it to a improper fraction
For A, divide total miles by the miles per gallon for each tire pressure to find the number of gallons of gas used:
At 30 psi: 23000 / 20.5 = 1121.95 gallons , round to 1121 gallons.
At 35 psi: 23000 / 21.1 = 1090 gallons.
Number of gallons saved: 1121 - 1090 = 31 gallons.
B) multiply the cost per gallon by the number of gallons saved:
31 gallons x $2.00 = $62.00 saved.
C) Multiply the gallons saved by 1 car by total number of cars:
31 gallons x 140 million cars = 4,340 million gallons ( 4 billion 340 million gallons)