Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
Answer:
x = - 
Step-by-step explanation:
A theorem states that (using letters from in this problem) that:
AB * BE = DC * CE
Applying that you can find that:
11 ( x + 1 ) = 1 ( x + 4 )
11 x + 11 = x + 4
11 x + 11 - x = x + 4 - x
10 x + 11 = 4
10 x + 11 - 11 = 4 - 11
10 x = -7
10 x / 10 = -7 / 10
x = -
Answer:
153 units squared
Step-by-step explanation:
To solve, multiply your length by your width.
Answer:
Y ≤ 3
Step-by-step explanation:
The Domain is the x values the function holds, while the range is the y values the function holds. This means that, looking at the graph, the range of the function is all y values less than or equal to 3, or Y ≤ 3.
