PLEASE HURRY AND SOLVE!!!!
1 answer:
Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is where
varies directly with
and
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of
. I will use (20,120) as an example:
Therefore, the constant of proportionality is 6
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If α and β are the Roots of a Quadratic Equation ax² + bx + c then :
✿ Sum of the Roots : α + β
✿ Product of the Roots : αβ
Let the Quadratic Equation we need to find be : ax² + bx + c = 0
Given : The Roots of a Quadratic Equation are 6 and 3
⇒ α = 6 and β = 3
Given : The Leading Coefficient of the Quadratic Equation is 4
Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2
Leading Coefficient of our Quadratic Equation is (a)
⇒ a = 4
⇒ Sum of the Roots
⇒ -b = 9(4)
⇒ b = -36
⇒ Product of the Roots
⇒ c = 18 × 4
⇒ c = 72
⇒ The Quadratic Equation is 4x² - 36x + 72 = 0