Answer:
Side AC corresponds to side FD
Angle BAC corresponds to angle BFD
Answer:
t = 2.61
Step-by-step explanation:
h (t) = (1/2) x (- 9.8) x t ^ 2 + 12 x t + 2
h (t) = -4.9 x t ^ 2 + 12 x t + 2 (rewritten)
When the ball hits the ground:
-4.9 x t ^ 2 + 12 x t + 2 = 0
Solved:
t1 = -0.16
t2 = 2.61
The negative is irrelevant here. Hence: 2.61.
Answer:
2 marbles
Step-by-step explanation:
Lana has 3 bags with x marbles in each bag totaling 12 marbles
3x=12
Divide by 3
3x/3 =12/3
x =4
Each bag has 4 marbles
Markus has 3 bags with y marbles totaling 18 marbles
3y =18
Divide each side by 3
3y/3 =18/3
y =6
Each bag has 6 marbles
6-4 =2
There are 2 more marbles in Markus' bags than in Lara's
Answer:
I am think so opction (C).....
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
