Answer:
Option (A)
Step-by-step explanation:
AE and RV are the two line segments intersecting at a point N.
Therefore, ∠ANR ≅ ∠ENV [Vertical angles are equal in measure]
(8x + 12)° = (5x + 57)°
8x - 5x = 57 - 12
3x = 45
x = 15
Since, m∠ENV = 5(15) + 57
= 75 + 57
= 132°
Therefore, Option (A) will be the answer.
The vertex of the parabola is given by :

.
So,

is the first coordinate of the vertex, which means it is also the point where the line of symmetry passes.
The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.
So, if one of the x-intercepts is

, that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :
Answer:

,
Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
Answer:
mythology is important for both individualistic and collective reasons. On an individual level, mythology could teach moral or human truths, whereas on a collective level mythology could be used to keep people in touch with their origins. Mythological stories could then be used to teach children values such as hard work, diligence and obedience.
Step-by-step explanation:
Answer:
E, D
Step-by-step explanation:
rate of change is the slope
slope is change in y over change in x
the slope of the graph is (3/2)
E has a slope of 1/2 which is less than 3/2
D has a slope of 1 which is also less than 3/2