Answer:
don't bother commenting im a bot
Step-by-step explanation:
The answer is going to be TRUE! :)
Answer:
Refer to the attachment. Hope it helps you. Please mark as the brainliest. Thanks
Answer:
It's 90 because we'll make it equal
Answer:
![\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20%5C%20%5Cdfrac%7B%5Csqrt%7B4025%7D-5%7D%7B2%7D%3D29.22144...%20%5C%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello
<u>Let's note the original speed of the car v</u>
it means that in 1 hour he is going v miles
so to go 200 miles it takes ( in hour)
![\dfrac{200}{v}](https://tex.z-dn.net/?f=%5Cdfrac%7B200%7D%7Bv%7D)
If the speed of the car is v+5 than to go 200 miles it takes (in hour)
![\dfrac{200}{v+5}](https://tex.z-dn.net/?f=%5Cdfrac%7B200%7D%7Bv%2B5%7D)
and this time is one hour less so we can write
![\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5C%20%5C%20%5Cdfrac%7B200%7D%7Bv%2B5%7D%3D%5Cdfrac%7B200%7D%7Bv%7D-1%20%5C%20%5C%20%7D)
We can multiply by v(v+5) both parts of the equation so
![200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0](https://tex.z-dn.net/?f=200v%3D200%28v%2B5%29-v%28v%2B5%29%5C%5C%5C%5C%3C%3D%3E200v%3D200v%2B1000-v%5E2-5v%5C%5C%5C%5C%3C%3D%3Ev%5E2%2B5v-1000%3D0)
![\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}](https://tex.z-dn.net/?f=%5CDelta%3Db%5E2-4ac%3D5%5E2%2B4%2A1000%3D4025%5C%5C%5C%5C%20%5Ctext%7BThere%20are%20potential%20solutions%20%7D%5C%5C%5C%5C%5C%20%5C%20%5C%20%5C%20%5C%20x_1%3D%5Cdfrac%7B-5-%5Csqrt%7B4025%7D%7D%7B2%7D%5C%5C%5C%5C%5C%20%5C%20%5C%20%5C%20%5C%20x_2%3D%5Cdfrac%7B-5%2B%5Csqrt%7B4025%7D%7D%7B2%7D)
Only one is positive and this is is
![x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...](https://tex.z-dn.net/?f=x_1%3D%5Cdfrac%7B%5Csqrt%7B4025%7D-5%7D%7B2%7D%3D29.22144...)
So the original speed is 29.22144... mph
Hope this helps.
Do not hesitate if you need further explanation.
Thank you