Answer:
The correct answer is option A. √3
Step-by-step explanation:
From the figure we can see that aright angled triangle.
Points to remember
If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2
<u>To find the length of side opposite to 30°</u>
Let 'x' be the side opposite to the 30°, the we can write,
x : 3 : Hypotenuse = 1 : √3 : 2
Therefore x = 3/√3 = √3
The length of side opposite to the 30° is √3
The correct answer is option A. √3
By equating both quadratic equations, Brian can determine the point of intersection of both equations. Upon graphing he was able to identify that both share the same vertex but of opposite opening. Based on this, he can say that both equations are equations of parabolas with same vertex but open on different directions.
(x+20)/2 = 3x
x+20 = 6x
6x - x = 20
5x = 20
x = 4
Since y = x•3 and x = -5, -5•3 = -15 so y = -15