I think you would have 3 1/2 yards left (3 2/4 simplified)
Answer:
m=9
Step-by-step explanation:
12m+80=188
subtract 80 from both sides to get the m alone.
12m+80-80=188-80
12m=108
divide both sides by twelve.
12m/12=108/12
m=9
Answer:
y = -3x - 3
Step-by-step explanation:
First, determine the slope of the red line. As we move from (0, 3) to (1, 0),
x increases by 1 and y decreases by 3. Hence, the slope, m, is
m = rise / run = -3 / 1, or m = -3.
The desired new line, parallel to the red line, has the same slope as the red line: m = -3.
The equation for this new line is y - k = m (x - h), where (h, k): (-1, 0):
We get y - 0 = -3 (x + 1), or y = -3x - 3.
Check: Does this line go thru the given point (-1, 0)?
Is 0 = -3(-1) - 3 true? Yes, it is true.
Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
