A recipe calls for a cup of white sugar and a cup of brown sugar. You are making the recipe for a larger group of people. You wi
1 answer:
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Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
Answer:
y - 2 = - (x - 7)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 4 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Here m = - and (a, b) = (7, 2), thus
y - 2 = - (x - 7) ← equation of perpendicular line