Marshall- 8 hours because 8•6=48
Yolanda- 3 hours because 6•3=18
18•2= 36 18•3=54
Answer:
(4,-4)
Step-by-step explanation:
(x,y)
y=3/4x - 7
y=3/4*(4)-7
y=3-7
y=-4
(4,-4)
Answer:
The vector that describes their hike from their starting position to their final destination is
.
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
![\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BA%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
![\vec r_{B} = 4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BB%7D%20%3D%204%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
![\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%283%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%29%2B4%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
![\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%207%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is
.
Power = work \time
I'm not sure if that's the answer you are looking for

We need to get the equation in square form
We apply completing the square method

Divide all the terms by 5

Group x terms and y terms separately

By completing the square method, we take half of coefficient of x and square it

square it 
Add 1 on both sides


square it 
Add 4 on both sides

Add 6 on both sides

Now factor both parenthesis

The equation of the circle is 