Answer:
12. 9
Step-by-step explanation:
12. Using Pythagoras theorem
let shortest distance be = x
8 square + 5 square = x square
64 + 25 = x square
89 = x square
Therefore x = square root of 89
Thus X = 9
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
12 times (double the times since we are doubling the minutes)
Step-by-step explanation:
2/6 = 4/x
Use cross multiplication
2x = 6*4
2x = 24
x = 12
F(2) means that you are plugging in 2 for x, while f(x)=2 means that the equation equals 2 (y=2) at a certain x value.
Answer:
Step-by-step explanation:
3,5,6,
a =3
d = 5-3 = 2
Tn= a+(n-1)d
T6= 3+(6-1)2 = 3 + (5)2 = 3 + 10 = 13