Answer:
![y = -\frac{7}{4} + 3 , y = -\frac{1}{4}x - 3 : x = 4, y = -4](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B7%7D%7B4%7D%20%2B%203%20%2C%20y%20%3D%20-%5Cfrac%7B1%7D%7B4%7Dx%20-%203%20%3A%20x%20%3D%204%2C%20y%20%3D%20-4)
Step-by-step explanation:
![\begin{bmatrix}y=-\frac{7}{4}x+3\\ y=-\frac{1}{4}x-3\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy%3D-%5Cfrac%7B7%7D%7B4%7Dx%2B3%5C%5C%20y%3D-%5Cfrac%7B1%7D%7B4%7Dx-3%5Cend%7Bbmatrix%7D)
Substitute: ![y=-\frac{1}{4}x-3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx-3)
Isolate x for: ![-\frac{1}{4} x - 3 = -\frac{7}{4} x + 3 : x = 4](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D%20x%20-%203%20%3D%20-%5Cfrac%7B7%7D%7B4%7D%20x%20%2B%203%20%3A%20x%20%3D%204)
For ![\:}y=-\frac{1}{4}x-3](https://tex.z-dn.net/?f=%5C%3A%7Dy%3D-%5Cfrac%7B1%7D%7B4%7Dx-3)
Substitute: ![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
![y=-\frac{1}{4}\cdot \:4-3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5C%3A4-3)
![-\frac{1}{4}\cdot \:4-3 = - 4](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5C%3A4-3%20%3D%20-%204)
![y = -4](https://tex.z-dn.net/?f=y%20%3D%20-4)
The solutions to the system of equations are:
![x=4,\:y=-4](https://tex.z-dn.net/?f=x%3D4%2C%5C%3Ay%3D-4)
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
123
Step-by-step explanation:
The complete question is Assume that X/Y=M/N . Which of the following statements are true? (Assume that X, Y, M, N, and F are nonzero real numbers, and assume that all expressions have nonzero denominators.) Create an answer using the numbers associated with the true statements. For example, if only 1, 2, and 5 are true, then the answer is 125; if only 3 and 5 are true, then the answer is 35, etc
The statements are given in 1st attachment and answer choices are given in 2nd attachment
Let's start by verifying statements 3 and 4 as these are easy to verify
To verify statement 3,
(X+Y)/Y= (M+N)/N
X/Y + 1= M/N + 1
since X/Y=M/N
X/Y + 1= X/Y +1
So statement 3 is true
To verify statement 4,
(X+F)/Y= (M+F)/N
X/Y + F/Y = M/N + F/N
Statement 4 is false
Look at the answer choices, statement 3 is mentioned in option c,d and e. Statement 4 is mentioned in c and d. Since statement 4 is incorrect our answer is option e
Hi there!
To start, squares are a shape in which all of its sides are congruent to one another. Knowing the length of one side would mean that you would know the length of all the other sides.
Because you know that one side measures 22 cm, you can conclude that all the other sides of the square are also at a length/width of 22 cm.
Next, you will find the area of the square.
Because the area formula is Area=Length * Width, you can easily find the area of the square by multiplying 22*22 since the length and width of any square is the same.
When you simplify 22*22, you should get 484.
Therefore, the area of the square canvas would be 484 cm squared.
Hope this helps and have a marvelous day! :)
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26