Answer:
There's a rotation in our schedule if things we do everyday.
Step-by-step explanation:
Hope this helps :D
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
Answer:
The distance is 3.
Step-by-step explanation:
Since the x coordinates are the same, we take (-1)-(-4) = 3.
Answer:
![\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%3D%5Cfrac%7B%5Ctext%7B40%20laps%7D%7D%7B%5Ctext%7B%20hour%7D%7D)
Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:
![\text{Days}=5\times 12=60](https://tex.z-dn.net/?f=%5Ctext%7BDays%7D%3D5%5Ctimes%2012%3D60)
![\text{Minutes}=60\times 45](https://tex.z-dn.net/?f=%5Ctext%7BMinutes%7D%3D60%5Ctimes%2045)
1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.
![\text{Hours}=\frac{60\times 45}{60}=45](https://tex.z-dn.net/?f=%5Ctext%7BHours%7D%3D%5Cfrac%7B60%5Ctimes%2045%7D%7B60%7D%3D45)
Now, we will divide 1800 by 45 to find average rate in laps per hour as:
![\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%3D%5Cfrac%7B%5Ctext%7B1800%20laps%7D%7D%7B%5Ctext%7B45%20hours%7D%7D)
![\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%3D%5Cfrac%7B%5Ctext%7B40%20laps%7D%7D%7B%5Ctext%7B%20hour%7D%7D)
Therefore, Sebastian's average rate is 40 laps per hour.
For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)
Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.
It should look like this:
![y+1= \frac{4}{3}(x-9)](https://tex.z-dn.net/?f=y%2B1%3D%20%5Cfrac%7B4%7D%7B3%7D%28x-9%29%20)
Since all they are asking for is for you to put it into a formula this will be your answer.