Answer:
point k and point n
K L M N
Step-by-step explanation:
Answer:
a. (3x^4 + 6 ) + (2x^2)
b. (X^3 ) + (-x -7)
c. (4.6x^4) + (-1.5x^2)
Step-by-step explanation:
For the first one, we have to write to polynomials, which equal 3x^4 + 2x^2 +6
One possible solution is (3x^4 + 6 ) + (2x^2)
For b, we can do,
(X^3 ) + (-x -7)
And finally for c, we can write,
(4.6x^4) + (-1.5x^2)
Answer:
In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Explanation:
Given that the road trip was 136 miles;
![d=136](https://tex.z-dn.net/?f=d%3D136)
The first part of the trip there was lots of traffic, she only averaged 16 mph;
![v_1=16](https://tex.z-dn.net/?f=v_1%3D16)
The second part of the trip there was no traffic so she could drive 44 mph;
![v_2=44](https://tex.z-dn.net/?f=v_2%3D44)
She traveled for a total of 5 hours;
![t=5](https://tex.z-dn.net/?f=t%3D5)
let x represent the time in traffic when she traveled at 16 mph
![t_1=x](https://tex.z-dn.net/?f=t_1%3Dx)
the time the traffic is clear would be;
![t_2=t-t_1=5-x](https://tex.z-dn.net/?f=t_2%3Dt-t_1%3D5-x)
Recall that distance equals speed multiply by time;
![d=v_1t_1_{}_{}^{}+v_2t_2](https://tex.z-dn.net/?f=d%3Dv_1t_1_%7B%7D_%7B%7D%5E%7B%7D%2Bv_2t_2)
substituting the values;
![136=16x+44(5-x)](https://tex.z-dn.net/?f=136%3D16x%2B44%285-x%29)
solving for x;
![\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20136%3D16x%2B220-44x%20%5C%5C%2044x-16x%3D220-136%20%5C%5C%2028x%3D84%20%5C%5C%20x%3D%5Cfrac%7B84%7D%7B28%7D%20%5C%5C%20x%3D3%20%5Cend%7Bgathered%7D)
So;
![\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t_1%3D3%5Ctext%7B%20hours%7D%20%5C%5C%20t_2%3D5-x%3D5-3%3D2%20%5C%5C%20t_2%3D2%5Ctext%7B%20hours%7D%20%5Cend%7Bgathered%7D)
Therefore, In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Since factors need to show that a number can be divided by another and 6*3=18, C is the answer.