<h3>Answer: The lines are perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of the line through the two given points.
m = (y2 - y1)/(x2 - x1)
m = (-4 - (-5))/(6 - (-7))
m = (-4 + 5)/(6 + 7)
m = 1/13
The slope of the line through the two given points is 1/13.
This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.
However, the two lines are perpendicular because multiplying the two slope values leads to -1
(slope1)*(slope2) = (-13)*(1/13) = -1
note: It might help to think of -13 as -13/1 to help multiply the fractions.
Answer: B and D
Step-by-step explanation:
First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.
Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:

When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:

Answer:
x=3
Step-by-step explanation:
2x-x=5-3+1
x=3
I think that's it