This is a positive statement
Option D. D has the matrix of constants [[12], [11], [4]].
Step-by-step explanation:
Step 1:
With the given equations, we can form matrices to represent them.
The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.
Step 2:
The linear system A is represented as
.
Step 3:
The linear system B is represented as
.
Step 4:
The linear system C is represented as
.
Step 5:
The linear system D is represented as
.
Step 6:
Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.
We can find the radius by using the formula: C = 2(pi)(r)
We'll use 3.14 for pi.
And solve for r.
18.84 = 2(3.14)r ; Start
18.84 = 6.28r ; Multiply 3.14 by 2
3 = r ; Divide both sides by the coefficient of r. Which is 6.28
So, the radius is 3 miles.