Answer:
12 - x/11 > 8
12 -8 - x/11 > 8 -8
4 -x/11 > 0
4 -x/11 + x/11> 0 + x/11
4 > x/11
44 > x
x is less than 44
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Central angles are angles at the centre of the circle subtended by 2 radii
Angles that meet this criteria are
∠AOB, ∠BOC, ∠AOC
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
Answer:
see below
Step-by-step explanation:
y= 1/2x - 2
To find the x intercept, set y =0 and solve for x
0= 1/2x - 2
Add 2 to each side
2 = 1/2x -2+2
2 = 1/2x
Multiply by 2
2*2 = 1/2x *2
4 =x
The x intercept is 4
Given:
The sum of two terms of GP is 6 and that of first four terms is 
To find:
The sum of first six terms.
Solution:
We have,


Sum of first n terms of a GP is
...(i)
Putting n=2, we get


...(ii)
Putting n=4, we get



(Using (ii))
Divide both sides by 6.
Taking square root on both sides, we get

Case 1: If r is positive, then using (ii) we get
The sum of first 6 terms is




Case 2: If r is negative, then using (ii) we get
The sum of first 6 terms is




Therefore, the sum of the first six terms is 7.875.