Associative Property of multiplication
Let's start by identify a 30-60-90 triangle
If we compare those two traingles we can stablish the following relation:
![\begin{gathered} a\sqrt[]{3}=6\sqrt[]{3} \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%5Csqrt%5B%5D%7B3%7D%3D6%5Csqrt%5B%5D%7B3%7D%20%5C%5C%20%20%5Cend%7Bgathered%7D)
Therefore, a=6
u is the opposite side to the 90° angle, therefore

on the other hand, v is the opposite side to the 30° angles, so
Answer:
-20
Step-by-step explanation:
5
x
−
4
y
=
−
20
Find the x-intercepts.
Tap for more steps...
x-intercept(s):
(
−
4
,
0
)
Find the y-intercepts.
y-intercept(s):
(
0
,
5
)
List the intersections.
x-intercept(s):
(
−
4
,
0
)
y-intercept(s):
(
0
,
5
)
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.