What is the equation of the line that goes through (−1, −1) and is parallel to y = 6x − 1?
1 answer:
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Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
Reciprocal of a fraction<h2>Answer</h2>
8/7
<h2>Explanation</h2>In this case, the base is 7/8 and the exponent is -4.
In order to find the reciprocal of a fraction we just have to flip it upside down:
That is why the answer is 8/7.