Answer:
(- 3, 37) and (- 
, 
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = - : y = 4 + 
= ⇒ (- , )
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Line AH and line BG are parallel
There are 8 pigs to every 3 sheep
8 pigs +3 sheep is 11 ÷165 is 15
15×8 is 120
15×3 is 45
so there was 45 sheep
The diameters of the circles given are listed as: 2.5 cm, 3.1 cm, 3.7 cm, and 4.3 cm. It can be observed that there is a common difference between the terms of the progression such that the difference between the first two terms is 0.6 cm. The difference between the third and the second is also 0.6, and so on. Thus, the equation that will be able to represent the given is,
<em> f(n) = 2.5 + 0.6(n - 1)</em>
