Differentiate both sides of the equation of the circle with respect to , treating as a function of :
This gives the slope of any line tangent to the circle at the point .
Rewriting the given line in slope-intercept form tells us its slope is
In order for this line to be tangent to the circle, it must intersect the circle at the point such that
In the equation of the circle, we have
If , then , so we omit this case.
If , then , as expected. Therefore is a tangent line to the circle at the point (1, -2).
Answer:
your answer should be 6! :)
Answer:
child tickets - 47
adult tickets - 94
Explanation:
since the number of adult tickets sold is twice that of the number of child tickets sold, we can divide 141 into three parts to find the number of child tickets sold.
141 ÷ 3 = <u>47</u> (number of child tickets sold)
we can now multiply this by two to find the number of adult tickets sold.
47 × 2 = <u>94</u>
i hope this helps! :D