1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of .
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
It can be helpful to graph the system. The appropriate choice is ...
... (0, 2) and approximately (1.91, 0.09)
Such a system of equations has no algebraic solution. Some graphing calculators will identify the points of intersection of the graphs to full calculator precision. Others can help you iterate a solution, if you need better accuracy.
Part A: A pair of similar triangles is triangle DEF and triangle GFD.
Part B: Traingle DEF ~ triangle GFD by the AA Similarity Theorem
Part C: By applying the Leg Rule, the length of segment ED = 4 units.
<em><u>Recall:</u></em>
The Figure of the given triangle DEF is shown in the attachment below.
<em><u>Part A: A Pair of Similar Triangles</u></em>
A pair of similar triangles are traingle DEF and triangle GDF
<em><u>Part B: Reason for Similarity</u></em>
Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.
<em><u>Part C: Length of Segment ED</u></em>
Given the following,
Thus:
8/ED = ED/2 (Leg Rule)
ED² = (8)(2)
ED² = 16
ED = 4
Learn more about AA Similarity Theorem on:
