Step-by-step explanation:
(4sin0 × 4sin0) +(4sin0 × -3cos0)+ (3cos0×4sin0) +(3cos0 × -3cos0)=
16 sin²0 - 12 sin0cos0 + 12 sin0cos0 -
9cos²0
= 16sin²0 - 9 cos²0
The answer to your equation is 60x (2y+5)
Work is shown below
21x3y·2 – 3x·2y + 75x·<span>4
6</span>·21xy-6xy+6·50x
6x (21y-y+50)
Factor 21y-y+50: 10 (2y+5)
6·10x (2y+5)
= 60x (2y+5)
Answer:
x = 2, y = 1
Step-by-step explanation:
<u>Given:</u>
![\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D2x%2B2y%3D6%5C%5C%203x-y%3D5%5Cend%7Bbmatrix%7D)
<u>Solve:</u>
![\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}](https://tex.z-dn.net/?f=%5Cmathrm%7BIsolate%5C%3Bx%5C%3Bfor%5C%3B2x%2B2y%3D6%3Ax%3D3-y%7D)
![\mathrm{Substitute\:}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubstitute%5C%3A%7D)
![\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D3%5Cleft%283-y%5Cright%29-y%3D5%5Cend%7Bbmatrix%7D)
![\mathrm{Simplfy}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplfy%7D)
![\begin{bmatrix}9-4y=5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D9-4y%3D5%5Cend%7Bbmatrix%7D)
![\mathrm{Isolate\;y\;for\;9-4y=5:y=1}](https://tex.z-dn.net/?f=%5Cmathrm%7BIsolate%5C%3By%5C%3Bfor%5C%3B9-4y%3D5%3Ay%3D1%7D)
![\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dx%3D3-y%5C%3B%5Cmathrm%7BSubstitute%5C%3A%7Dy%3D1)
![x=3-1](https://tex.z-dn.net/?f=x%3D3-1)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![x=2](https://tex.z-dn.net/?f=x%3D2)
![\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}](https://tex.z-dn.net/?f=%5Cmathrm%7BThe%5C%3AAnswers%5C%3Ato%5C%3Athe%5C%3Asystem%5C%3Aof%5C%3Aequations%5C%3Aare%3A%7D)
![x=2,\:y=1](https://tex.z-dn.net/?f=x%3D2%2C%5C%3Ay%3D1)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
<u>Check Answer:</u>
Since ![x =2 , y =1](https://tex.z-dn.net/?f=x%20%3D2%20%2C%20y%20%3D1)
![2(2)+2(1)](https://tex.z-dn.net/?f=2%282%29%2B2%281%29)
![4 + 2](https://tex.z-dn.net/?f=4%20%2B%202)
![= 6](https://tex.z-dn.net/?f=%3D%206)
<u><em>True</em></u>
![3(2) - (1)](https://tex.z-dn.net/?f=3%282%29%20-%20%281%29)
![6 -1](https://tex.z-dn.net/?f=6%20-1)
![5](https://tex.z-dn.net/?f=5)
<u><em>True</em></u>
Hence, ![x = 2, y = 1](https://tex.z-dn.net/?f=x%20%3D%202%2C%20y%20%3D%201)
<u><em>~Lenvy~</em></u>
Answer:
(4, 3)
Step-by-step explanation:
Given
(2, 3 ) → (6, 3 )
The x- coordinate of the image is 4 more than the original while the y- coordinate remains unchanged, thus
< x + 4, y > ← is the translation rule, thus
(0, 3 ) → (0 + 4, 3 ) → (4, 3 ) ← is the image
Answer: 41.25
Step-by-step explanation:
Volume = Length x Width x Height
Volume = 3 x 5.5 x 2.5
Volume = 41.25
Mark me as brainliest!!
Have a nice day