Answer:
Step-by-step explanation:
Given : Expression = 
Simplifying the expression :
Step 1. Write the expression = 
Step 2. Add the similar elements: 
= 
Step 3. Add the similar elements: 
= 
Therefore,
is the simplified form of 
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:


Now, we will multiply both fractions as:



Therefore, the 2nd debate was 3 hours long.
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15
speed = distance/time
distance = speed * time
366 = (2s + 15) * 2
183 = 2s + 15
168 = 2s
s = 84
The slower bus travels at 84 km/h.
s + 15 = 84 + 15 = 99
The faster bus travels at 99 km/h.
Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
~Just a girl in love with Shawn Mendes
(x - 7)² + (y - 3)² = 4 is your equation.