A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)
First we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.
we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201
now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms
X - 3y - 3z = 9
5x - 3y + 3z = -3
--------------------add
6x - 6y = 6
x - 3y - 3z = 9.....multiply by -4
-4x + 2y - 4z = 4..multiply by 3
-------------------
-4x + 12y + 12z = -36 (result of multiplying by -4)
-12x + 6y - 12z = 12 (result of multiplying by 3)
-----------------add
-16x + 18y = - 24
6x - 6y = 6.....multiply by 3
-16x + 18y = -24
---------------------
18x - 18y = 18 (result of multiplying by 3)
-16x + 18y = -24
--------------------add
2x = - 6
x = -6/2
x = -3
6x - 6y = 6
6(-3) - 6y = 6
-18 - 6y = 6
-6y = 6 + 18
-6y = 24
y = -24/6
y = -4
x - 3y - 3z = 9
-3 - 3(-4) - 3z = 9
-3 + 12 - 3z = 9
9 - 3z = 9
-3z = 9 - 9
-3z = 0
z = 0
so ur solution is (-3,-4,0)
Answer:
Rs. 320
Step-by-step explanation:
Contribution of Non Fiction books towards the sale = (degree of non fiction books / total degrees in a circle ) x 100
degree of non fiction books = 80
total degrees in a circle = 360
(80 / 360) x 1440 = Rs. 320