Answer:
The other endpoint of the segment is 
.
Step-by-step explanation:
The midpoint of the points 
and 
is given by the following formula:
where 
= coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
To find 
we need to solve this equation:
and to find 
we need to solve this equation:
The other endpoint of the segment is 
.
I think the answer is the one in the bottom right.
Answers:
1.) 18 lemons
2.) 80 minutes
Explanation:
Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.
Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.
If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.
For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.
This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).
If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.
Hope this helps :)
Answer: The knights were responsible for protecting the people.
