For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following line:
The slope is 
By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to the given line will have a slope
Therefore, the equation of the parallel line will be of the form:
We substitute the given point and find "b":
Finally, the equation is:
Answer:
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Answer:
The direction that the line is going is now flipped across the y-axis.
Let the hypotenuse <span>of a 30-60-90 triangle = l
</span>So, the leg which faces angel 60 = l sin 60 = (√3)/2 l // and the leg faces angel 30 = l sin 30 = 0.5 l //
∴ the longer leg = (√3)/2 l
∴ The ratio between the longer leg and hypotenuse = (√3)/2 l : l = (√3)/2 : 1 = √3 : 2 = 3 : 2√3
The correct choices will be C and E
