Trick question. For the reflections given in the problem statement, the x-coordinate doesn't change. The number that goes in the green box is 1.
Answer:
y+11=-
(x-4)
Step-by-step explanation:
since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-
(x-4)
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by

Now, from equations (ii) and (iii), we have

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

From equations (iv) and (v), we get

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer:
13.5 inches
Step-by-step explanation:
after 5 hours = 6 inches
11 - 5 = 6 hours to go
1.25 x 6 = 7.5 inches
7.5 + 6 = 13.5 inches
24/72
Simplify the fraction, by dividing out the GCF: 24
<u>24/24
</u>72/24
1/3