1331 hope this helped! ;))
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
d. 50°
Step-by-step explanation:
Since you know one angle and its opposite side, use the law of sines.
sin 36°/11.9 = sin D/15.6
sin D = 15.6 × sin 36° / 11.9
sin D = =0.7705
D = sin^-1 0.7705
D = 50.4°
I like to use Desmos Graphing Calculator. The attachment is what I get when I plug the inequalities in.
