Answer:
Step-by-step explanation:

Add 5 to both sides

x = 6

Add 3 to both sides
x = -15 +3
x = -12
Type into your calculator (if you haven't already): log 54.
My result: was similar to yours.
Note, however, that we're supposed to round off these results to the nearest thousandths (not thousand).
Your 1.73239 would need to be rounded off to 1.732, with 2 being the nearest thousandths.
9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4