Answer:
C. 
Step-by-step explanation:
Alan and his classmates found that the line of best fit through the data had the equation 
The slope of this line is 
If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.
The slopes of perpendicular lines are negative reciprocals of each other,
Hence that line must have slope 
Therefore we look for a line whose slope is 
from the given options.
That line is the third option
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.
Answer:
A. Olivia is correct.
Step-by-step explanation:
If the total amount of gravel stated is 689 pounds and you want to check your answer, you can subtract one of the two trucks from the total. Which would be either 689 - 231 or 689 - 458. Therefore, A is the correct answer.
6\9 to the simplest fraction is
2\3
Answer:
x can have two complex solutions, which are:
-2 + i
-2 - i
Step-by-step explanation:
2x² + 8x + 10 = 0
4x² + 16x + 20 = 0
4x² + 16x + 16 = -4
(2x + 4)² = -4
2x + 4 = √-4
2x = -4 ± i√4
2x = -4 ± 2i
x = -2 ± i
So x is equal to -2 + i and -2 - i.
