G is the same function
Using the 2nd function
g(2) = 8 - g(2-1)
g(2) = 8 - g(1) (g(1)=50 )
So, g(2)= 8-50
g(2) = -42
Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Answer:
170°
Step-by-step explanation:
Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.
A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.
Therefore the angle at Chicago is C.
From cosine rule:
c² = a² + b² - 2ab × cos (C)
2ab × cos (C) = a² + b² - c²
cos (C) = (a² + b² - c²) / 2ab
Substituting:
cos (C) = (1744² + 714² - 2451²) / 2×1744×741
cos (C) = -0.986
C = cos⁻¹ (- 0.986) = 170°
Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
