To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
You are correct. The answer is B.) They are congruent because they are corresponding angles.
Nice job! Hope this helped :)
Answer:
A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles
Step-by-step explanation:
The 5-12-13 right triangle is a common pythagorean triple. :)
The answer would be theorem Side angle side (aka SAS)