Answer: 18938545.55220567
Step-by-step explanation:
i believe that the answer is -30
hope this helps! :)
Answer:
9
Step-by-step explanation:
10x-6 = 8x + 12
so
10x-8x = 12 + 6
so
2x = 18
so x = 18/2 = 9
Answer:
B) 200 miles.
Step-by-step explanation:
Let M = miles that you need to drive
45 + 0.295M = 90 + 0.07M
90 - 45 = 0.295M - 0.07M
45 = 0.225M
M = 45/0.225
M = 200
Hope this helped :)
Answer:
The vector of magnitude 3 in the direction of
.
Step-by-step explanation:
Let be
and
, the resultant in the direction of
can be obtained by using the following expression:
![\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v](https://tex.z-dn.net/?f=%5Cvec%20u%20%3D%20%5Cfrac%7B%5C%7C%5Cvec%20u%5C%7C%7D%7B%5C%7C%5Cvec%20v%5C%7C%7D%20%20%5Ccdot%20%5Cvec%20v)
Where:
,
- Norms of
and
, respectively.
Now, we get the norm of
by Pythagorean Theorem:
![\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%5C%7C%20%3D%20%5Csqrt%7B12%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D)
![\|\vec v\| = 13](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%5C%7C%20%3D%2013)
The vector is now determined:
![\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})](https://tex.z-dn.net/?f=%5Cvec%20u%20%3D%20%5Cfrac%7B3%7D%7B13%7D%20%5Ccdot%20%2812%5C%2C%5Chat%7Bi%7D-5%5C%2C%5Chat%7Bk%7D%29)
![\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}](https://tex.z-dn.net/?f=%5Cvec%20u%20%3D%20%5Cfrac%7B36%7D%7B13%7D%20%5C%2C%5Chat%7Bi%7D-%5Cfrac%7B15%7D%7B13%7D%5C%2C%20%5Chat%7Bk%7D)
The vector of magnitude 3 in the direction of
.