Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
The slope of line l is 
and it passs through the point P(1,3). So, the equation of line l is
Adding 3 on both sides, we get
Therefore, the equation of line l is .
This is the concept of commercial arithmetic, we are required to calculate the amount that Kerri contributes towards her health insurance if the total annual contribution is $6,486 and the employer pays 80% of this;
percentage insurance that Kerri pays is:
1000-80
=20%
Annual premium= $6,486
Amount paid by Kerri will be:
20/100*[total amount paid]
20/100*6,486
=$1,297.2
The answer is $ 1,297.2
Answer:
21
Step-by-step explanation:
you go by and then that and then another thing and yeahhh
Subsets of rational numbers are like whole numbers, integers, and fractions :) hope this helps
When the slopes are equal, the two lines are parallel.
<span> When the product of two slopes is -1, then the two lines are perpendicular.
So, y - 4 = 3x + 6 ;
Then, y = 3x + 10 ; the slope of the first line is 3 ;
2x + 6y = 10 ;
Then, 6y = - 2x + 10 ;
y = (-2/6)x + 10/6 ;
Finally, y = (-1/3)x + 5/3; the slope if the second line is -1/3;
Because 3*(-1/3) = -1 the two lines are perpendicular.</span>
