Answer:
(a)
,
,
,
,
,
,
.
(b)
,
,
,
,
,
,
,
.
Step-by-step explanation:
In this exercise we only need to recall the formula for C(n,k):

where the symbol
is the factorial and means
.
By convention 0!=1. The most important property of the factorial is
, for example 3!=1*2*3=6.
(a) The explanations to the solutions is just the calculations.
.
(b) The explanations to the solutions is just the calculations.
For all the calculations just recall that 4! =24 and 5!=120.
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at
and point Q at
in the proportion a:b, we use the formula:

line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

Answer:
13, 4, -11
Step-by-step explanation:
g(-3) = 4-3(-3) = 4+9 = 13
g(0) = 4-3(0) =4-0 = 4
g(5) = 4-3(5) = 4-15 = -11
The exact circumference of the circle is 
The approximate circumference of the circle is 
Explanation:
The diameter of the circle is 
Now, we shall find the circumference of the circle.
The formula to determine the circumference of the circle is given by

Where C is the circumference ,
is 3.14 and
is the diameter of the circle.
The exact circumference of the circle is given by

Multiply both numerator and denominator by 100, we get,

Converting
into mixed fraction, we get,

Thus, the exact circumference of the circle is 
The approximate value of the circumference can be determined by dividing the value 


Thus, the approximate circumference of the circle is 
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