Answer:y = - 2x + 17
Step-by-step explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2
To determine c,
We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = -2 × 4 + c
9 = -8 + c
c = 9 + 8 = 17
The equation becomes
y = - 2x + 17
Answer:
(-x,y)
Step-by-step explanation:
The x coordinate changes while the y stays the same when reflected across the x axis.
Answer:
Option A is correct.
Step-by-step explanation:
The following matrix represent the augmented matrix
In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.
Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix
The given matrix is:
Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.
As the variables have zero values, there cannot be any solution
So, there is no solution.
So, Option A is correct.
I believe D, but I am unfamiliar with this particular terminology
Let c represent the number of children Mama has. The number of notebooks she has is
.. 13c +8 = 15c
.. 8 = 2c
.. c = 8/2 = 4
Mama has 4 children and 60 notebooks.