Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is

Using distance formula, the distance between two points (1, 4) and (5, 2) is





Round to the nearest tenth of a unit.

Therefore, the distance between two artifacts is 4.5 units.
Answer:
(a) No
(b) No
(c) No
Step-by-step explanation:
Given
See attachment
Required
Select Yes or No for each
To do this, we make use of Euler's formula

Where


Using: 


<em>The above equality is false. Hence, (a) does not exist</em>

Using: 


<em>The above equality is false. Hence, (b) does not exist</em>
<em />
<em />
<em />
Using: 


<em>The above equality is false. Hence, (c) does not exist</em>
Please send picture of the problem, so I can show you how to do it.
He is left with
minutes for the last problem
Step-by-step explanation:
Given
Total time = 30 minutes
Time spent on problem 1:
minutes
Time spent on problem 2:
minutes
First of all, we will calculate the total time for 2 problems

The remaining time is:

Hence,
He is left with
minutes for the last problem
Keywords: Fractions, mixed fractions
Learn more about fractions at:
#LearnwithBrainly
Number of juice cups mentioned in question = 20
Quantity of juice that each juice cup can hold = 10 fluid ounces
Quantity of fluid ounces that
20 juice cups require = 20 * 10 fluid ounces
= 200 fluid ounces.
Now
32 fluid ounces = 1 quart
Then
200 fluid ounces = 200/32 quart
= 6.25 quart
Again
4 quart = 1 gallon
So
6.25 quart = 6.25/4 gallon
= 1.56 gallon
So we see that 1.56 gallon of juice is required by Debbie. As the juice comes in 1 gallon bottles, Debbie needs to order 2 bottles of juice.