Answer:
Equation of the line in question: 
.
Step-by-step explanation:
Start by finding the intersection of the two straight lines. The equation for both lines shall hold at their intersection. (Using the idea of the Gaussian Elimination.)
.
Add -3 times the first equation to the second:
.
Add the second equation 
to the first:
.
Hence the intersection of the two lines will be 
.
Now, find the slope of that straight line. 
is equivalent to 
. The slope of that line is equal to 1. So will be the slope of the line in question.
Apply the point-slope form of a line on a Cartesian plane:
- Point: ,
- Slope:
.
Equation of the line:
.
Simplify to obtain:
.
Count the spaces between the points rise over run
It's negative correlation because the dots are dropping in value.
<em>A positive correlation starts in the bottom left corner and rises to the top right. While a negative correlation starts at the top left corner, and drops in value. No correlation has dots randomly placed throughout the graph and a line can't be drawn to represent the correlation. </em>
<em> </em>
Answer:
It means the Judy's rate to complete the puzzle is 
Step-by-step explanation:
If Judy completes a puzzle by herself, it takes her 3 hours.
Working with Sal, it only takes them 2 hours
We have been given the rates of time taken by Judy and Sal to complete a puzzle.
We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.
It is given that Judy completes a puzzle by herself, it takes her 3 hours.
so part of puzzle completed by Judy in one hour would be
Therefore, the part of puzzle completed by Judy in one hour is
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.
diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²
