The correct answer is: " c = √(a² + b²) " . _________________________________________ Explanation: _________________________________________ The Pythagorean theorem is: a² + b² = c² .
↔ c² = a² + b² ;
Take the square root of EACH SIDE OF THE EQUATION;
→ √(c²) = √(a² + b²) ;
→ c = √(a² + b²) ; which is one of the two answer choices given; which is correct. _____________________________________________ Note: The other answer choice given:
m = (y₂ − y₁) / (x₂ − x₁) ; refers to the calculation of the slope of a line; given an equation for a line, in "slope-intercept form"; that is, "y = mx +b" ; in which "m" is the slope, given the coordinate of two points on the line: ________________________________________________ → (x₁, y₁) ; and: (x₂, y₂) ; _______________________________________
which is NOT related to the "Pythagorean theorem" equation. __________________________________________________
"Mathematically yes - but from an engineering point no. And micro black holes are very unstable. They will evaporate extremely violently" hope this helps
The descriminant is b^2-4ac so for 26 it would be -5^2 - 4 (1) (7). The quadratic formula is -B plus or minus the square root of b squared minus 4ac over 2a
