Dave has 25 3/4 feet of piping and needs to cut it in 1 1/2 foot measurements for a project. How many pieces of piping will he e
1 answer:
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Answer:
Step-by-step explanation:
We are actually using Pythagorean theorem here but to be simple
we can use the equation:
D(distance)=
=
(If you meant 16 instead of 6 the answer would be 15)
Hope this helps!
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 .