Answer:
Solving the equation by completing the square method we get
Option B is correct option.
Step-by-step explanation:
We need to solve the equation by completing the square method.
For completing the square method: we need to follow:
We are given:
Solving by completing the square
We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.
So, adding and subtracting (3)^2
So, solving the equation by completing the square method we get
Option B is correct option.
If the width is 15, and the scale factor from width to length is 3:2, then you will have to divide 15 by 3 to get your original width.
15/3 = 5.
5 is your original width.
Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .
30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.