Answer:
x = ± 1
Step-by-step explanation:
Given
3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )
3(x² - 4) = - 9 ( divide both sides by 3 )
x² - 4 = - 3 ( add 4 to both sides )
x² = 1 ( take the square root of both sides )
x² = ± = ± 1
Thus
x = - 1, x = 1
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)
Answer:
1075/42
Step-by-step explanation:
