Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
Answer:
27
Step-by-step explanation:
5,7,9,11. ....
This is an arithmetic sequence.
First term = a₁ = 5
Common difference = d = second term - first term = 7 - 5 = 2
nth term = a₁ + (n-1)*d
12th term = 5 + (12 - 1) * 2
= 5 + 11*2
= 5 + 22
= 27
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
I’m not going to work them out, but just use the formula: m= y^2-y^1/x^2-x^1 :)