Step-by-step explanation:
Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.
<h3>#CMIIW</h3>
Answer:
The first three terms are -30, -27 and -24
Step-by-step explanation:
The formula for nth term of a arithmetic series is given by:
aₙ = a₁ + (n - 1)d
Substitute n = 16 in the given equation:
a₁₆ = a₁ + (16 - 1)d
Where aₙ = a₁₆ = 15. Substitute in the given equation
15 = a₁ + 15d ⇒ Equation (i)
Sum of arithmetic sequence is given by:
Sₙ = n(a₁ + aₙ) / 2
Substitute n = 16 in the above equation:
S₁₆ = 16(a₁ + a₁₆) / 2
Where S₁₆= -120 and a₁₆=15, substitute:
-120 = 16(a₁ + 15)/2
-240 = 16(a₁ +15)
-15 = a₁ + 15
a₁ = -30
Substitute it in Equation (i)
15 = a₁ + 15d
15 = -30 + 15d
15d = 15+30
d = 45/15
d = 3
So
a₁ = -30
a₂ = a₁ + (2-1)d
a₂ = -30 + 3
a₂ = -27
a₃ = a₁ + (3-1)d
a₃ = a₁ + 2d
a₃ = -30 + 2(3)
a₃ = -30 +6
a₃ = -24
Any number that ends with a 0 or a 5 would be a multiple of 5 because as you multipy numbers by 5 you start to see a pattern in the ones place of 5,0,5,0,5,0,5,0,... And so on forever
Answer:
1. x= 122(answer on pdf=n)
2. x=38(answer on pdf=s)
7. x=26(answer on pdf=l)
8. x=14(answer on pdf=p)
13. x=22(answer on pdf=b)
14. x=12(answer on pdf=k)
Step-by-step explanation:
Supplementary angle for number 1 so 58+x=180
180-58=x=122
Number 2 is a complimentary angle so 52+x=90
90-52=x=38
Number 7 is a complimentary angle so 64+x=90
90-64=x=26
Number 8 it states that the angles are equal so 4x=56
56/4=x=14
Number 13 is a supplementary angle so (6x-2)+50=180
(180-50+2)/6=x=22
132/6=x=22
Number 14 is complimentary so 8x-6=90
96/8=x=12
