Answer:
The correct option is 2. The circle has a radius equal to 7.
Step-by-step explanation:
It is given that center of a circle is at the origin on a coordinate grid.
The standard form of the circle is
Where (h,k) is center of the circle and r is radius.
The equation of the circle is
The line intersects the circle at (0,7) it means the point lies on the circle.
Put x=0 and y=7 in the above equation.
Therefore the radius of the circle is 7 units.
The line is passing through the point (0,7) with positive slope. Two points are required to find the slope of a line.
Since we have a single point therefore we cannot find the slope of the line. Second option is correct.
Answer:
The gasoline cost $411.47.
Step-by-step explanation:
This problem can be solved using rules of three.
The first step is finding how many gallons were used.
They travelled a total of 3982 miles. They averaged 24 miles per gallon of gasoline.
So
1 gallon = 24 miles
x gallons - 3982 miles
195.9 gallons were used.
How much did the gasoline cost is the price per gallon was $2.48?
Each gallon costs $2.48. 195.9 gallons were used. So
$2.48*195.9 = $411.47
The gasoline cost $411.47.
Use the depreciation formula.
Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:
Simplify by subtracting:
Simplify the exponent:
Multiply:
ps dont pay attention to the units theyre just there for an example
Hailey had 3/4 feet of a ribbon, she wanted to keep 1/2 of it and give 1/2 of it to her friend. How much does each person get?
The answer is 3/8