Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your ans
wer to 1 decimal place
1 answer:
Answer:
distance = 9.4 units
Step-by-step explanation:
* using the distance formula *
d =
= 9.4 units
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The answer with Be B good choice
250 divided by x = d (the amount mr Stein drove ) I think that’s the equation
Well Group 1 is 30
Group 2 is 10
Group 3 is 30.
So Group 2 is most biased
therefore
![x^3+\left(\dfrac{1}{x}\right)^3=110\iff \left(x+\dfrac{1}{x}\right)^3-3\left(x+\dfrac{1}{x}\right)=110\\\\subtitute\ t=x+\dfrac{1}{x}\\\\t^3-3t=110\ \ \ \ |subtract\ 110\ from\ both\ sides\\\\t^3-3t-110=0\\\\t^3-25t+22t-110=0\\\\t(t^2-25)+22(t-5)=0\ \ \ |use\ a^2-b^2=(a-b)(a+b)\\\\t(t-5)(t+5)+22(t-5)=0\\\\(t-5)[t(t+5)+22]=0\iff t-5=0\ or\ \underbrace{t^2+5t+22=0}_{no\ solution}\\\\t=5\iff x+\dfrac{1}{x}=5\\\\Answer:\boxed{x+\dfrac{1}{x}=5}](https://tex.z-dn.net/?f=x%5E3%2B%5Cleft%28%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%5E3%3D110%5Ciff%20%5Cleft%28x%2B%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%5E3-3%5Cleft%28x%2B%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%3D110%5C%5C%5C%5Csubtitute%5C%20t%3Dx%2B%5Cdfrac%7B1%7D%7Bx%7D%5C%5C%5C%5Ct%5E3-3t%3D110%5C%20%5C%20%5C%20%5C%20%7Csubtract%5C%20110%5C%20from%5C%20both%5C%20sides%5C%5C%5C%5Ct%5E3-3t-110%3D0%5C%5C%5C%5Ct%5E3-25t%2B22t-110%3D0%5C%5C%5C%5Ct%28t%5E2-25%29%2B22%28t-5%29%3D0%5C%20%5C%20%5C%20%7Cuse%5C%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5C%5C%5C%5Ct%28t-5%29%28t%2B5%29%2B22%28t-5%29%3D0%5C%5C%5C%5C%28t-5%29%5Bt%28t%2B5%29%2B22%5D%3D0%5Ciff%20t-5%3D0%5C%20or%5C%20%5Cunderbrace%7Bt%5E2%2B5t%2B22%3D0%7D_%7Bno%5C%20solution%7D%5C%5C%5C%5Ct%3D5%5Ciff%20x%2B%5Cdfrac%7B1%7D%7Bx%7D%3D5%5C%5C%5C%5CAnswer%3A%5Cboxed%7Bx%2B%5Cdfrac%7B1%7D%7Bx%7D%3D5%7D)
