Step-by-step explanation:
√3 x² - 2x - √3 = 0
√3 x² - 3x + x - √3 = 0
√3 x(x - √3) + 1(x - √3) = 0
(x - √3 ) (√3 x + 1) = 0
x - √3 = 0 , √3 x +1 = 0
x = √3 , x = -1/√3
Answer:
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²
✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)
Answer: The length and width of a book cover are 28.3 centimeters and 21 centimeters, respectively. Find the range of values for the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, so 28.25 cm ≤ length < 28.35 cm.
Hope this helps!
Start with second, third and fourth degree of imaginary unit i:
.
Since 233=232+1=4·58+1, then
.
Answer: 
I think the answer would be 56. Bc the first job has 8 different people who could get the job and then once someone is chosen for that slot the next teaching position only has 7 candidates. So you would take 8*7 which equals 56.
