What is an equation of the line that passes through the points (-3, -1) and (-6,3)?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = =
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - = -
= - 5
product of roots = =
= - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31