300 - 147 = 153
153 / 3 = 51
Answer:
Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
<u>Midpoint of the chord:</u>
- ((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)
<u>Equation of the line through chord (-1,2) and (2,3):</u>
- m = (3 - 2)/(2 + 1) = 1/3
- y - 2 = 1/3(x + 1)
- y = 1/3x + 7/3
<u>Perpendicular bisector is:</u>
- y - 2.5 = -3(x - 0.5)
- y = -3x + 4 >> (1)
<u>And the given line is:</u>
- 2x - 3y + 1 = 0
- y = 2/3x + 1/3 >> (2)
<u>Solve the system:</u>
- -3x + 4 = 2/3x + 1/3
- -9x + 12 = 2x + 1
- 11x = -11
- x = -1
<u>Find y:</u>
- y = -3(-1) + 4 = 3 + 4 = 7
The center is (-1, 7)
<u>Find the radius, the distance from center to one of points on circle </u>
- (-1, 7) and (-1, 2)
- 7 - 2 = 5
<u>The equation of circle is:</u>
- (x + 1)² + (y - 7)² = 5²
- (x + 1)² + (y - 7)² = 25
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
Roberto paid $7.43 cents.
Step-by-step explanation:
1.65 times 4.5=7.425
I rounded 7.425 to 7.43 giving you your final answer.