Answer: (1, 3)
Step-by-step explanation:
There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it. For the sake of simplicity, I will solve it without the pythagorean theorem.
As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically. Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.
Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)
Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.
Answer:
The answer is 7.96×10⁷ .
Step-by-step explanation:
As the decimal moves to the <u>l</u><u>e</u><u>f</u><u>t</u> , you have to add one more power to the base 10 :
e.g
7 960 000.0 = 7 960 000×10¹
796 000.00 = 796 000×10²
79 600.000 = 79 600×10³
7 960.0000 = 7 960×10⁴
796.00000 = 796×10⁵
79.600000 = 79.6×10⁶
7.9600000 = 7.96×10⁷
* Take note :
0 < a < 10 ('a' must be greater than 0 but smaller than 10)
Answer:
5+10d=x The dogs he walks are the ind variable and the total money he earns is the dep variable
Step-by-step explanation:
If he earns five dollars a week then that is a confirmed amount which means it’s just $5. Then for every dog he walks that’s $10 so if he walks 0 dogs then he gets $0.
The dogs he walks is ind because this variable is the variable that changes and effects the total whereas, the dep is the total because that’s what changes depending on the ind variable
Answer: V = 193.25π
Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:
V = ![\pi\int\limits^a_b {[f(x)]^{2}} \, dx](https://tex.z-dn.net/?f=%5Cpi%5Cint%5Climits%5Ea_b%20%7B%5Bf%28x%29%5D%5E%7B2%7D%7D%20%5C%2C%20dx)
f(x) is the area is the function that rotated forms the solid.
For f(x)=y= 
and solid delimited by x = 2 and x = 4:
V = 
V = 
V = 
V = 
V = 193.25π
The volume of a solid formed by y = 
and delimited by x = 2 and x = 4
is 193.25π cubic units.
