Answer:
they would be the negative or positive version depending on the coordinates of ABC
3 ft is less than 21 ft
(if you ment 21 inches 3ft=36 inches so if you ment that 3 ft would be larger in that case)
The conic section that the above equation represents is a CIRCLE.
Use completing the square for y and put the equation in standard form:
<span>x</span>²<span>+ y</span>²<span> - 4y + [(-4)/2]</span>²<span> - 1 = 0 + [(-4)/2]</span>²
<span>x</span>²<span> + y</span>²<span> - 4y + (-2)</span>²<span> - 1 = 0 + (-2)</span>²
<span>x</span>²<span> + y</span>²<span> - 4y + 4 - 1 = 4 </span>
<span>x</span>²<span> + (y - 2)</span>²<span> - 1 = 4 </span>
<span>x</span>²<span> + (y - 2)</span>²<span> = 4 + 1
</span>x² + (y -2)² = 5
The radius of the circle is the square root of 5. Its center is found at (0,2)
If you have a graphing calculator, you can simply type it into y= and it will graph it for you. But if you need coordinates, the line runs through (0,2) , (4,5) , and (-4,1)
(135+34)/2
=169/2
=84.5
So, your answer is 84.5