For a quadratic of the form

, we have the quadratic formula

,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given

, we can get that

, and

. We substitute these numbers into the quadratic formula above.





This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the

symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
Answer:
6.284
Step-by-step explanation:
* means multiply
formula is arc length = radius * theta
theta is fancy way of saying
make degrees into radians
you have to make 60 degrees into radians
you do that by
60 * Pi/180 = Pi/3
then you multiply that with the radius
6 * Pi/3 = 2 * Pi = 6.284
Answer:
The answer is −2x − 8 < −44 and −2x − 8 ≥ −48. OR answer choice D
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Answer: 615.44 m^3.
Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height. The equation is given below:
π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.
Now, we need to substitute the values with the information that is given. π ≈ 3.14:
3.14 x 7^2 x 12 ≈ 1846.32.
We are not finished yet! A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:
1/3 x 1846.32 ≈ 615.44 m^3.
Hope this helps! :)