D. drawing a vertical line x = 3 cuts the figure in symmetrical shape therefore equation for line of symmetry should be
x =3
X = alice
y = aaron
x + y = 320
x = 2(y - 5) = 2y - 10
(2y - 10) + y = 320
3y - 10 = 320
3y = 320 + 10
3y = 330
y = 330/3
y = 110 <==aaron's score
x = 2y - 10
x = 2(110) - 10
x = 220 - 10
x = 210 <==alice's score
Answer:
-4
Step-by-step explanation:
![11v-8=3](https://tex.z-dn.net/?f=11v-8%3D3)
![11v=11](https://tex.z-dn.net/?f=11v%3D11)
![v=1](https://tex.z-dn.net/?f=v%3D1)
Then plug 1 in for v in 4v-8
![4(1)-8](https://tex.z-dn.net/?f=4%281%29-8)
![4-8](https://tex.z-dn.net/?f=4-8)
![-4](https://tex.z-dn.net/?f=-4)
Answer: The speed when walking = 3.2 miles per hour
The speed when skateboarding=2(3.2)=6.4 miles per hour
Step-by-step explanation:
Let x be the walking speed then his speed on skateboard be 2x.
Time taken in skateboarding = 1:30-2:15= 45 minutes=3/4 hour
Distance traveled by skating is given by :-
![d_1=speed*time=2x(\frac{3}{4})=\frac{3}{2}x](https://tex.z-dn.net/?f=d_1%3Dspeed%2Atime%3D2x%28%5Cfrac%7B3%7D%7B4%7D%29%3D%5Cfrac%7B3%7D%7B2%7Dx)
Time taken for walking = 2:15-3:00=45 minutes=3/4 hour
Distance traveled by walking is given by :-
![d_2=speed*time=\frac{3}{4}x](https://tex.z-dn.net/?f=d_2%3Dspeed%2Atime%3D%5Cfrac%7B3%7D%7B4%7Dx)
Distance between house and beach = 7.2 miles
![\\\Rightarrow\ d_1+d_2=7.2\\\Rightarrow\ \frac{3}{2}x+\frac{3}{4}x=7.2\\\\\Rightarrow\ \frac{9}{4}=7.2\\\Rightarrow\ x=\frac{7.2\times4}{9}\\\Rightarrow\ x=3.2](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%5C%20d_1%2Bd_2%3D7.2%5C%5C%5CRightarrow%5C%20%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B3%7D%7B4%7Dx%3D7.2%5C%5C%5C%5C%5CRightarrow%5C%20%5Cfrac%7B9%7D%7B4%7D%3D7.2%5C%5C%5CRightarrow%5C%20x%3D%5Cfrac%7B7.2%5Ctimes4%7D%7B9%7D%5C%5C%5CRightarrow%5C%20x%3D3.2)
Hence, The speed when walking = 3.2 miles per hour
The speed when skateboarding=2(3.2)=6.4 miles per hour
The best description of the car's motion as shown in the graph is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
<h3>How to Analyze a Distance-Time Graph?</h3>
In a distance-time graph, an horizontal line implies no distance was covered within that time frame, meaning there was a stop.
Thus, in the graph given, the stop occurred 1 and 2, which is equivalent to an hour. From 2 to 5 on the x-axis means there was movement for up to 3 hours.
Therefore, the best description is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Learn more about distance-time graph on:
brainly.com/question/16990017
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