Answer:
n = -4
Step-by-step explanation:
-32=8n
Divide each side by 8
-32/8 = 8n/8
-4 = n
Answer:
see attached for diagram
a) √13
b) √29
c) 4
Step-by-step explanation:
Equation of the circle: 
⇒ center = (-1, 3)
⇒ radius = √16 = 4
Distance between 2 points formula:

a) let (-1, 3) = 
let (2, 1) = 

b) let (-1, 3) = 
let (4, 1) = 

c) let (-1, 3) = 
let (3, 3) = 

Answer:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Answer:
5 different numbers, 2 even
Step-by-step explanation:
Since we have 5 digits and they are non repeating we can use the permutation formula:

It gives us the amount of ways to arrange k objects out of n objects without repetition, but order does matter.
In our case the amount of 4 digit numbers that can be formed using the digits from 1 to 5 is: 
And out of those 5, only 2 are even
Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
In this problem we have
For
-----> 
so
Find the value of k

substitute the value of x and f(x)


therefore
the equation is equal to

For
-------> substitute in the equation and find the value of f(x)
