let x = the distance from Delany's house to the mall
so half the distance would be 1/2x
then it is 5 miles less than that so you would subtract 5 to give you 1/2x-5
and that is more than 6 miles so you get 1/2x-5>6
Answer:
no
Step-by-step explanation:
The solution is ![(3,4)](https://tex.z-dn.net/?f=%283%2C4%29)
Step-by-step explanation:
To solve the equation by substitution method, we need to substitute an equivalent value of a variable in one equation to an another equation.
The given two equations are
and
.
Thus, we know the equivalent value of y from one equation, let us subsitute the value of y from the equation
to the equation ![y=4x-8](https://tex.z-dn.net/?f=y%3D4x-8)
![4x-8=2x-2](https://tex.z-dn.net/?f=4x-8%3D2x-2)
Subtracting 2x from both sides of the equation, we get,
![2x-8=-2](https://tex.z-dn.net/?f=2x-8%3D-2)
Adding 8 to both sides of the equation, we get,
![2x=6](https://tex.z-dn.net/?f=2x%3D6)
Dividing by 2 on both sides of the equation,
![x=3](https://tex.z-dn.net/?f=x%3D3)
Now, substituting
in the equation
, we get,
![\begin{aligned}y &=2 x-2 \\&=2(3)-2 \\&=6-2 \\y &=4\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%20x-2%20%5C%5C%26%3D2%283%29-2%20%5C%5C%26%3D6-2%20%5C%5Cy%20%26%3D4%5Cend%7Baligned%7D)
Thus, the solution is ![(3,4)](https://tex.z-dn.net/?f=%283%2C4%29)
The Answer is 3
1 Driver and 7 Passengers = 8
19 people + 3 drivers = 23 people/8 = 3 vans,
Proof 3*8=24 thus 1 spare seat.
Since we have reflected only across the y-axis we know the x-values stay the same (but since they are changing quadrants will become positive) and the same goes for the y-values. Only the negative/positive area will change. Lets get to work:
<em>P(-2, -4) will become P'(2, -4)</em>
<em>Q(-3, -1) will become Q'(3, -1)</em>
<em>R(-4, -4) will become R'(4, -4)</em>
After doing this for a while you will be able to find the reflected coordinates without any trouble or graph.
<u>Key point</u><u>: Values stay the same</u>