The hot summer fair is coming to town. Admission to the fair costs $12.99 and each ride costs $1.75. You have $35 to spend at th
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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
Answer:
4 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?
<u><em>The picture of the question in the attached figure</em></u>
we know that
The <u><em>Intersecting Chord Theorem</em></u> states that: When two chords intersect each other inside a circle,the products of their segments are equal.
do
In this problem
substitute the given values
solve for x
therefore
The length of segment AY is 4 units
