Answer:
x = -1/2 + (i/2)√11 and x = -1/2 - (i/2)√11
Step-by-step explanation:
This polynomial is a quadratic. Its coefficients are a = 1, b = 1 and c = 3.
Thus, the discriminant b^2-4ac is 1^2 - 4(1)(3), or 1 - 12, or -11.
Because the discriminant is negative, the roots are complex.
The roots are:
-1 ±√(-11) -1 ±i√11
x = --------------- = ----------------, so x = -1/2 + (i/2)√11 and x = -1/2 - (i/2)√11
2 2
You can if the number has l l next to it
for example: l 2 l
Answer:
2n - 5 = 7
Step-by-step explanation:
Let the number = n
Twice a number = 2n
5 less than twice a number = 2n - 5
2n - 5 = 7
Answer:
35 ft
Step-by-step explanation:
The arch is in the shape of a semicircle.
The distance around the arch is about 110 feet. This is the same as the circumference of the arch.
The height of the arch is the radius of the arch.
The circumference of a semicircle is given as:
where r = radius
Therefore:
110 = πr
=> r = 110/π
r = 35.01 ft ≅ 35 ft
The height of the arch is 35 ft