Answer: ![x^2-17x+30=0](https://tex.z-dn.net/?f=x%5E2-17x%2B30%3D0)
Step-by-step explanation:
Let x = Time taken <em>(in days)</em> by Jean to do the job.
Then, Time taken by Kate to do the job = x-5
Then, together they will take time (t) as
![\dfrac{1}{t}=\dfrac{1}{x}+\dfrac{1}{x-5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7Bx-5%7D)
.
![\Rightarrow\ t=\dfrac{x(x-5)}{2x-5}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20t%3D%5Cdfrac%7Bx%28x-5%29%7D%7B2x-5%7D)
Since it is given that Kate and Jean paint a house together in 6 days.
i.e.
![6=\dfrac{x(x-5)}{2x-5}\\\\\Rightarrow 6(2x-5)=x^2-5x\\\\\Rightarrow\ 12x-30=x^2-5x\\\\\Rightarrow\ x^2-5x-12x+30=0\\\\\Rightarrow\ x^2-17x+30=0](https://tex.z-dn.net/?f=6%3D%5Cdfrac%7Bx%28x-5%29%7D%7B2x-5%7D%5C%5C%5C%5C%5CRightarrow%206%282x-5%29%3Dx%5E2-5x%5C%5C%5C%5C%5CRightarrow%5C%2012x-30%3Dx%5E2-5x%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2-5x-12x%2B30%3D0%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2-17x%2B30%3D0)
So, the equation represents the time it takes Kate to paint the house by herself is
.
Answer:
No because the a and b lengths are too big and the c length is too small
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 7.5^2 = 2.5^2
25 + 56.25 = 6.25
Answer:
Step-by-step explanation:
3,249
Answer:
is it 7?
Step-by-step explanation: