Answer:
1. b and g 2.a end e 3. d and f 4. g and h
Step-by-step explanation:
Answer: The slope is 4x.
Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.
Given:
is located in IV Quadrant.
![\sin (\theta_1)=-\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta_1%29%3D-%5Cdfrac%7B24%7D%7B25%7D)
To find:
The value of
.
Solution:
We have,
![\sin (\theta_1)=-\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta_1%29%3D-%5Cdfrac%7B24%7D%7B25%7D)
We know that,
![\sin^2 \theta+\cos^2\theta=1](https://tex.z-dn.net/?f=%5Csin%5E2%20%5Ctheta%2B%5Ccos%5E2%5Ctheta%3D1)
So,
![\sin^2 (\theta_1)+\cos^2(\theta_1)=1](https://tex.z-dn.net/?f=%5Csin%5E2%20%28%5Ctheta_1%29%2B%5Ccos%5E2%28%5Ctheta_1%29%3D1)
![\left(-\dfrac{24}{25}\right)^2+\cos^2(\theta_1)=1](https://tex.z-dn.net/?f=%5Cleft%28-%5Cdfrac%7B24%7D%7B25%7D%5Cright%29%5E2%2B%5Ccos%5E2%28%5Ctheta_1%29%3D1)
![\cos^2(\theta_1)=1-\dfrac{576}{625}](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%3D1-%5Cdfrac%7B576%7D%7B625%7D)
![\cos^2(\theta_1)=\dfrac{625-576}{625}](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%3D%5Cdfrac%7B625-576%7D%7B625%7D)
Taking square root on both sides, we get
![\cos (\theta_1)=\pm \sqrt{\dfrac{49}{625}}](https://tex.z-dn.net/?f=%5Ccos%20%28%5Ctheta_1%29%3D%5Cpm%20%5Csqrt%7B%5Cdfrac%7B49%7D%7B625%7D%7D)
![\cos (\theta_1)=\pm \dfrac{7}{25}](https://tex.z-dn.net/?f=%5Ccos%20%28%5Ctheta_1%29%3D%5Cpm%20%5Cdfrac%7B7%7D%7B25%7D)
is located in IV Quadrant. In IV Quadrant the value of cos is positive. So,
![\cos (\theta_1)=\dfrac{7}{25}](https://tex.z-dn.net/?f=%5Ccos%20%28%5Ctheta_1%29%3D%5Cdfrac%7B7%7D%7B25%7D)
Therefore,
.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming i and j refer to the row and column of a given element, that matrix would be ...
![\left[\begin{array}{cc}2&3\\3&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%263%5C%5C3%264%5Cend%7Barray%7D%5Cright%5D)
__
Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.
Answer:
120
Step-by-step explanation:
The formula for permutations is n!/(n-r)!.
6=n and 3=r, and if you plug those numbers in you would get 120