Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of 
our slope because 
in this step. In our case our slope is so in this step it becomes .
Moving onto the second part which is to get the reciprocal of the number which means that if we have 
then we would switch it to 
. In our case our number is so we would make that into a fraction like this 
.
In conclusion, our final slope of the perpendicular line is .
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer:
x = 6, -8
Step-by-step explanation:
If (x - 6)(x + 8) = 0, that would imply that either (x - 6) or (x + 8) would equal zero. Using this, we can find that solving the two equations:
x - 6 = 0
and
x + 8 = 0
would yield the two solutions to the equation.
x - 6 = 0
Add 6 to both sides of the equation.
x = 6
So one of the solutions would be x = 6.
x + 8 = 0
Subtract 8 from both sides of the equation.
x = -8
So the other solution would be x = -8.
The two solutions are x = 6 and x = -8.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
y^2 +8y + 16
Step-by-step explanation:
6y^2 +2y +5 - (5y^2 -6y -11)
I distribute the minus sign
6y^2 +2y +5 - 5y^2 +6y +11
Then I put them vertical.
6y^2 +2y +5
-5y^2 +6y +11
------------------------
y^2 +8y + 16
This is in standard from since the exponential decreases.
