Answer:
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Answer:
Equation representing the sentence =AB + BC = AC
Step-by-step explanation:
Let the distance from city hall to library site = AB
Let the distance from library site to Post office = BC
Let the distance from City hall to post office = AC
Hence AC = AB + BC
The answer to the above eqaution is 1
Step-by-step explanation:
Proceeding step by step
Step 1= 1/(1-xᵃ⁻ᵇ)+ 1/(1-xᵇ⁻ᵃ)
on rearranging the equation (b-a) as -(a-b) and substituting the value
Step 2= 1/(1-x ᵃ⁻ᵇ) + 1/(1-x -⁽ᵃ⁻ᵇ⁾ )
Using the indices corrolary that 1/1- x ⁻ᵃ= -xᵃ/ (1- x ᵃ) and subsituting the value of the expression in the step mentioned below
Step 3=1/(1+x ᵃ⁻ᵇ) - (x ᵃ⁻ᵇ)/(1-x ᵃ⁻ᵇ)
Since the denominators are the same the two fractions can be added with common denominator being 1+x ᵃ⁻ᵇ
On adding the above mentioned step 3 we get
Step 4=(1- x ᵃ⁻ᵇ) / (1- x ᵃ⁻ᵇ)
=1
Thus the value of equation =1
Let a and d be the first term and common difference, respectively. Then
the 8th term is a+7d
the 20th term is a+19d
The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d
The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d
So
8a + 28d = 160
20a+ 190d = 880
40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4
8a + 112 = 160
8a=48
a =
6
The first term is 6 and the common difference is 4.
The 43rd term is a+42d = 6+42(4) = 6+168 = 174
The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336
Answer:
20 minutes
Step-by-step explanation:
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