Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Technically only 1...
If you have to use 4 rows there is only one option;
1 1 1 2
1 1 2 1
1 2 1 1
2 1 1 1
Each number represents the total kids in a row.
1st number is row 1 second number is row 2 etc.
If you can use 2 or 3 rows there are some more answers.
The answer is A F. hope i helped
Answer:
1.625 miles.
Step-by-step explanation:
Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles long.
We have to find the length of the other side of the pasture.
Now, area if the pasture = product of it's two dimensions.
So, 0.65 = 0.4L
⇒ L = 1.625 miles. (Answer)
