Hi there!
Distributive property are two big words that basically just mean you need to distribute the 3 to the whole parentheses. This means you need to multiply 5 by 3 and also 6 by 3.
3 × 5 = 15
3 × 6 = 18
Now that you've distributed the 3 to the entire parentheses, you just need to add together both answers you got :
15 + 18 = 33
Your answer is: 33
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
Step-by-step explanation:
collect terms
11x+61=180
move numbers to one side and x to other
11x=180-61
11x=119
x=119/11=10.8
JK,KL and LJ are all to O.JA =14, AL=15, and CK=13. Find the perimeter of triangle JKL.? The answer is D. 84
Function A:

. Vertical asymptotes are in the form x=, and they are a vertical line that the function approaches but never hits. They can be easily found by looking for values of <em>x</em> that can not be graphed. In this case, <em>x</em> cannot equal 0, as we cannot divide by 0. Therefore <em>x</em>=0 is a vertical asymptote for this function. The horizontal asymptote is in the form <em>y</em>=, and is a horizontal line that the function approaches but never hits. It can be found by finding the limit of the function. In this case, as <em>x</em> increases, 1/<em>x</em> gets closer and closer to 0. As that part of the function gets closer to 0, the overall function gets closer to 0+4 or 4. Thus y=4 would be the horizontal asymptote for function A.
Function B: From the graph we can see that the function approaches the line x=2 but never hits. This is the vertical asymptote. We can also see from the graph that the function approaches the line x=1 but never hits. This is the horizontal asymptote.
The first step in solving this question is to split the journey into 2 parts. In the first part of the journey,
miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is
where
is the time,
is the speed and
is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,

The time to cover the journey is a third of an hour or 20 minutes.