You take the numerator and divide that by the denominator
We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are
<span><span> </span><span>Slope0.3848 ± 0.03956
</span><span>Y-intercept0.6053 ± 0.6370
</span><span>X-intercept-1.573
</span><span>1/Slope<span>2.598
Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.</span></span></span>
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Well, variables are stuff like x and y because they can represent a number. They are variable in an equation. so if you have (3x^3)+(5X^2)+Y+9 then your variables are x X and Y (im assuming the capital X is there and not a typo) if that was a typo and meant to be lowercase, then its just a 2 variable with the x and y
It is 15 meters long on each side.
You find the square root of 225 which is 15, because when you multiply 15 by 15 you get 225.
