Answer:
SOH CAH TOA
(Sine,opposite,Hypotenuse) - SOH
(Cosine, adjacent, Hypotenuse) - CAH
(Tangent,opposite,adjacent) - TOA
Step-by-step explanation:
question 3: -2
question 4: 0
Ordered pairs in a graph go in the sequence of (x, y)
Answer:
The sum of the roots is 0.5
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the sum of the roots of 20x^2-10x-30
we know that
In a quadratic equation of the form
The sum of the roots is equal to
in this problem we have
so
![a=20\\b=-10\\c=-30](https://tex.z-dn.net/?f=a%3D20%5C%5Cb%3D-10%5C%5Cc%3D-30)
substitute
<u><em>Verify</em></u>
Find the roots of the quadratic equation
The formula to solve a quadratic equation is equal to
![x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
![a=20\\b=-10\\c=-30](https://tex.z-dn.net/?f=a%3D20%5C%5Cb%3D-10%5C%5Cc%3D-30)
substitute
![x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-10%29%5Cpm%5Csqrt%7B-10%5E%7B2%7D-4%2820%29%28-30%29%7D%7D%20%7B2%2820%29%7D)
![x=\frac{10\pm\sqrt{2,500}} {40}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Cpm%5Csqrt%7B2%2C500%7D%7D%20%7B40%7D)
![x=\frac{10\pm50} {40}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Cpm50%7D%20%7B40%7D)
![x=\frac{10+50} {40}=1.5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%2B50%7D%20%7B40%7D%3D1.5)
![x=\frac{10-50} {40}=-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10-50%7D%20%7B40%7D%3D-1)
The roots are x=-1 and x=1.5
The sum of the roots are
----> is ok
Answer:
40yd
Step-by-step explanation:
area of total minus unshaded portion