SECTION B Application of your knowledge on the nature of roots:
1.
Prove that the roots of x² + (1 - k) x +k - 3 = 0 are real for all real values of k.​

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =

5, 6, 10 question: a. determine whether the side lengths form a triangle. (explain your reasoning) b. if it is a triangle, determine whether it is a right, acute, or obtuse triangle. (show your work)

Analyze the diagram. what is the composition of transformations that was applied to map wxyz to w''x''y''z''? the first transformation was a reflection across line m rotation about point a translation down and right translation up and left. the second transformation was a rotation about point a translation up translation down reflection across line m.