I believe the slope of any vertical line is "undefined" because slope= rise(change in y values)/ run(change in x values).
Therefore, the slope for a horizontal line is
m= 0/(x2-x1).
However, for a vertical line the x-values are the values that are not changing. So, m= (y2-y1)/0. It is not possible to divide anything by zero. So, the slope of a vertical line is reported as m= undefined.
Any questions?
Answer:
yesssss u are
Step-by-step explanation:
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.