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
The location of the GPS device will be ( 75,-45).
<h3>What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The given coordinates of the stations are ( -50,-25) and (200,-65).
The midpoints for the two coordinates will be calculated by the formula given below:-
Midpoints = 75, -45
Therefore the location of the GPS device will be ( 75,-45).
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Answer:
128 bags of popcorn
Step-by-step explanation:
356.20 / 6.85 = 52
634/60 / 8.35 = 76
76 + 52 = 128
Joanna deposited $132000 and her interest amount is $359730.35
<u>Step-by-step explanation:</u>
Monthly deposit = $275
Interest = 5.6%
Time = 40 years
After 40 years her account balance = $491730.35
If she deposit $275 monthly then after 40 years she will have deposited ,
= 275 x 12 x 40
= $132000
The remaining is her interest amount.
Interest amount = 491730.35 - 132000
= $359730.35
Joanna deposited $132000 and her interest amount is $359730.35
a to C would be 4 3/4 + 2/3
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 5/12
1 5/12 + 4 = 5 5/12 total distance
