Two trees standing side by side cast shadows that are the same length. Explain why the trees are the same height.
The sun’s rays are roughly parallel so that the angles formed at P and Q are congruent (They are corresponding). The trees are assumed to be at right angles with the ground and the shadows are the same length. So the triangles formed are congruent by AAS and thus, by C.P., the trees must be the same height.
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Factor by grouping.10x2 + 15xy - 4xy - 6y2
A. (5x + 2y)(2x + 3y) B. (10x - 2y)(x + 3y) C. (5x - 2)(2x + 3) D. (5x - 2y)(2x + 3y)
Find the vertex, the y-intercept, and the x-intercepts (if any exist), and graph the function.f(x) = x2 + 2x - 8
A. 
Vertex (- 1, - 9);
x-int = (4,0) and (2, 0);
y-int = (0, -8)
B. 
Vertex (1, - 9);
x-int = (-2,0) and (4, 0);
y-int = (0, 8)
C. 
Vertex (1, - 9);
x-int = (-2,0) and (4, 0);
y-int = (0, -8)
D. 
Vertex (- 1, - 9);
x-int = (-4,0) and (2, 0);
y-int = (0, -8)
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 
A. 
B. 
C. 
D. 
Simplify.
-3
A. 4x5y24
B. 
C. 
D. 