Answer:
- circumscribed circle
- The center of a circle circumscribing the triangle connecting the 3 cities will be equidistant from all three cities.
Step-by-step explanation:
The circumscribed circle or <em>circumcircle</em> of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.
The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, <em>the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter</em>.
The method of locating the center of the circle this way is simple and effective.
Answer:
y-intercept = (0, 
).
Step-by-step explanation:
Given the linear equation in standard form, 12x + 13y = 8:
We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.
12x + 13y = 8
Subtract 12x from both sides:
12x + 13y - 12x = - 12x + 8
13y = - 12x + 8
Next, divide both sides of the equation by 13 to solve for y:
or 
Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).
Let x = 0:
Therefore, the value of y when x = 0 is . This is the y-intercept, and its coordinate is (0, ).
The answer to your question is 5,000.
(D) 408.04 is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles. Hope this helps!
Answer:
Here!!
Step-by-step explanation:
Here are a few ratios that are equivalent to 4 : 11 . . . . .
8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion
