Answer:
The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. has x = –6 as the solution.
Step-by-step explanation:
<u>Checking the equation</u>
log Subscript 3 Baseline (negative 2 x minus 3) = 2
Writing in algebraic expression
Use the logarithmic definition
Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. has x = –6 as the solution.
-1F, 0F, 3F, 5F, 6F Think of this as a normal number line -3 -2 -1 0 1 2 3
hope this helped
Answer:
hope it helps...
Step-by-step explanation:
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Answer:
y=-14
Step-by-step explanation:
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3