Step-by-step explanation:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
Let distance travelled by Nichol =x
<h2>ATQ</h2>
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}](https://tex.z-dn.net/?f=%5Csf%20%7B%5Cdfrac%20%7B3%7D%7B5%7D%7D%5Ctimes%20x%3D%7B%5Cdfrac%20%7B3%7D%7B8%7D%7D)
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}](https://tex.z-dn.net/?f=%5Csf%20%7B%5Cdfrac%20%7B3x%7D%7B5%7D%7D%3D%7B%5Cdfrac%20%7B3%7D%7B8%7D%7D)
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf 8 (3x)=5×3](https://tex.z-dn.net/?f=%5Csf%208%20%283x%29%3D5%C3%973%20)
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf 24x=15](https://tex.z-dn.net/?f=%5Csf%2024x%3D15)
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf x={\dfrac{24}{15}}](https://tex.z-dn.net/?f=%5Csf%20x%3D%7B%5Cdfrac%7B24%7D%7B15%7D%7D)
![{:}\longrightarrow](https://tex.z-dn.net/?f=%7B%3A%7D%5Clongrightarrow)
![\sf x=1.6](https://tex.z-dn.net/?f=%5Csf%20x%3D1.6)
Nichol runs 1.6miles .
Answer:
Step-by-step explanation:
_______
Good evening ,
______________
Look at the photo below for the answer,
:)
Answer:
Option C (1, 0)
Step-by-step explanation:
We have a system with the following equations:
![y = x ^ 2-1\\\\y = 2x-2](https://tex.z-dn.net/?f=y%20%3D%20x%20%5E%202-1%5C%5C%5C%5Cy%20%3D%202x-2)
The first equation is a parabola.
The second equation is a straight line
To solve the system, substitute the second equation in the first and solve for x.
![2x-2 = x ^ 2 -1](https://tex.z-dn.net/?f=2x-2%20%3D%20x%20%5E%202%20-1)
Simplify
![x ^ 2-2x + 1 = 0](https://tex.z-dn.net/?f=x%20%5E%202-2x%20%2B%201%20%3D%200)
You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.
These numbers are -1 and -1
Therefore
![x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0](https://tex.z-dn.net/?f=x%20%5E%202-2x%20%2B%201%3D%20%28x-1%29%28x-1%29%5C%5C%5C%5Cx%20%5E%202-2x%20%2B%201%3D%20%28x-1%29%5E2%3D0)
Finally the solutions are
![x = 1\\y =0](https://tex.z-dn.net/?f=x%20%3D%201%5C%5Cy%20%3D0)
Answer:
Step-by-step explanation:
|4r−12| = -(4r-12) when 4r-12< 0
4r< 12 so r<3