A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
Answer:
12.5%
Step-by-step explanation:
320 divided by 40 = 8
100 divided by 8 = 12.5
100% is 320 dollars, which means that 40 dollars is 1/8 of 320. And 1/8 of 100 is 12.5%
Answer:
5.0 ft-lbf
Step-by-step explanation:
The force is

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

with
and
the initial and final displacements respectively.
From the question,
and
.
Then

Evaluating the indefinite integral,

From the rules of integration,


Returning the limits,

The final answer would be:
9x / (x-8)
The exact steps are shown in the attached picture.
Note that when dividing two fractions, we convert the division into multiplication and flip the second term.
Answer:
y =
OR y = 
Step-by-step explanation:
Our quadratic equation is: (5y + 6)² = 24.
The first step is to square root both sides:
5y + 6 = ±√24 = ±2√6
Now subtract 6 from both sides:
5y = ±2√6 - 6
Finally divide by 5 from both sides:
y =
OR y = 
And, those are the solutions to the equation.