Answer:
x = 4; y = 8
Step-by-step explanation:
y=2x
y=x+4
2x = x + 4
x = 4
y = 2x = 2(4)
y = 8
Solution: x = 4; y = 8
Answer: 
Step-by-step explanation:
Given
The surface area of a rectangular prism is 
Width of prism 
Length of prism 
height of prism 
Surface area is given by
![S.A.=2[lw+wh+hl]](https://tex.z-dn.net/?f=S.A.%3D2%5Blw%2Bwh%2Bhl%5D)
Put values
![34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm](https://tex.z-dn.net/?f=34%3D2%5B2%5Ctimes%201%2B1%5Ctimes%20x%2B2x%5D%5C%5C17%3D2%2B3x%5C%5C15%3D3x%5C%5Cx%3D5%5C%20cm)
Now, the volume of Prism is given by


Answer:
y = -12
Step-by-step explanation:
You first calculate the x coordinate using the equation x =
, which in this case is
.
Then plug that x value into the equation to get the y coordinate:
4(-1)²+8(-1)-8 = -12
The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.
A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.
In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.
Hope this helps!
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.