Answer:
it is the bottom one on the left
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Rosie 17
Daisy 14
Tilly 12
Molly 8
The square root of 13 is an irrational number so you would just write it as the square root of 13.
<span>Let t=time Doreen travels; let r=rate of Doreen
RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
</span>
![r= \frac{64}{t} \\ \\(\frac{64}{t} +13)(t-3)=105 \\ \\64- \frac{192} {t}+13t-39-105=0 \\ \\13t- \frac{192} {t}-80=0 \\ \\ 13t^2-80t-192=0 \\ \\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26} \\ \\t=\frac{80+128}{26} =8 \\ \\r=\frac{64}{t} =\frac{64}{8} =8](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7B64%7D%7Bt%7D%20%0A%5C%5C%0A%5C%5C%28%5Cfrac%7B64%7D%7Bt%7D%20%2B13%29%28t-3%29%3D105%20%0A%5C%5C%0A%5C%5C64-%20%5Cfrac%7B192%7D%20%7Bt%7D%2B13t-39-105%3D0%0A%5C%5C%0A%5C%5C13t-%20%5Cfrac%7B192%7D%20%7Bt%7D-80%3D0%0A%5C%5C%0A%5C%5C%2013t%5E2-80t-192%3D0%0A%5C%5C%0A%5C%5Ct_%7B1%2C2%7D%3D%20%5Cfrac%7B80%5Cpm%20%5Csqrt%7B%28-80%29%5E2-4%5Ctimes13%28-192%29%7D%20%7D%7B2%5Ctimes13%7D%3D%20%5Cfrac%7B80%5Cpm128%7D%7B26%7D%20%20%0A%5C%5C%0A%5C%5Ct%3D%5Cfrac%7B80%2B128%7D%7B26%7D%20%20%3D8%0A%5C%5C%0A%5C%5Cr%3D%5Cfrac%7B64%7D%7Bt%7D%20%3D%5Cfrac%7B64%7D%7B8%7D%20%3D8)
<span>
Doreen: rate = 8 mph, time = 8 hours
Sue: </span>rate = 21 mph, time = 5 hours<span>
</span>