Answer: 42 degrees
Explanation: KFD=84 KFL is half of KFD(84)
84 divided by 2 = 42
Answer:
A, C, and E good luck
Step-by-step explanation:
Answer:
![18x^2+85x+18 = 0](https://tex.z-dn.net/?f=18x%5E2%2B85x%2B18%20%3D%200)
Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> ![2x^2+7x-9=0](https://tex.z-dn.net/?f=2x%5E2%2B7x-9%3D0)
Comparing it with
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = ![-\frac{b}{a}](https://tex.z-dn.net/?f=-%5Cfrac%7Bb%7D%7Ba%7D)
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = ![\frac{\alpha }{\beta } + \frac{\beta }{\alpha }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%2B%20%5Cfrac%7B%5Cbeta%20%7D%7B%5Calpha%20%7D)
Sum of Roots = ![\frac{\alpha^2+\beta^2 }{\alpha \beta }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%5E2%2B%5Cbeta%5E2%20%20%7D%7B%5Calpha%20%5Cbeta%20%7D)
Sum of Roots = ![\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Calpha%2B%5Cbeta%20%29%5E2-2%5Calpha%5Cbeta%20%20%20%7D%7B%5Calpha%5Cbeta%20%20%7D)
Sum of roots = ![(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B-7%7D%7B2%7D%20%29%5E2-2%28%5Cfrac%7B-9%7D%7B2%7D%20%29%20%2F%20%5Cfrac%7B-9%7D%7B2%7D)
Sum of roots = ![\frac{49}{4} + 9 /\frac{-9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B4%7D%20%2B%209%20%2F%5Cfrac%7B-9%7D%7B2%7D)
Sum of Roots = ![\frac{49+36}{4} / \frac{-9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B49%2B36%7D%7B4%7D%20%2F%20%5Cfrac%7B-9%7D%7B2%7D)
Sum of roots = ![\frac{85}{4} * \frac{2}{-9}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7B4%7D%20%2A%20%5Cfrac%7B2%7D%7B-9%7D)
Sum of roots = S = ![-\frac{85}{18}](https://tex.z-dn.net/?f=-%5Cfrac%7B85%7D%7B18%7D)
Product of Roots = ![\frac{\alpha }{\beta } \frac{\beta }{\alpha }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%5Cfrac%7B%5Cbeta%20%7D%7B%5Calpha%20%7D)
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> ![x^2-Sx+P = 0](https://tex.z-dn.net/?f=x%5E2-Sx%2BP%20%3D%200)
=> ![x^2 - (-\frac{85}{18} )x+1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%20%28-%5Cfrac%7B85%7D%7B18%7D%20%29x%2B1%20%3D%200)
=> ![x^2 + \frac{85}{18}x + 1 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20%5Cfrac%7B85%7D%7B18%7Dx%20%2B%201%20%3D%200)
=> ![18x^2+85x+18 = 0](https://tex.z-dn.net/?f=18x%5E2%2B85x%2B18%20%3D%200)
This is the required quadratic equation.
Answer:
Step-by-step explanation:
x = 0
y = -4 (0) + 3
y = 3
(0,3) is a solution.
x-axis is parallel
First change the mixed fraction into an improper fraction
7 1/2 = 15/2
Next, change multiply 2 to both numerator and denominator
15 x 2 = 30
2 x 2 = 4
30/4
Each piece needs 3/4 of an inch. Divide 30 with 3
30/3 = 10
c) 10 pieces is your answer
hope this helps