Answer:
Use a <em>Unit Rate Calculator</em> it will really help you <em>solve the problems you are trying to solve! </em>:)
Hope you get a good grade
Answer:
![\mathrm{A.\:}x+2y=a](https://tex.z-dn.net/?f=%5Cmathrm%7BA.%5C%3A%7Dx%2B2y%3Da)
Step-by-step explanation:
In standard form
, any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:
We can write the following system of equations from two points from the table:
![\begin{cases}d\cdot3a+e\cdot(-a)=f\cdot a\\d\cdot5a+e\cdot(-2a)=f\cdot a\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dd%5Ccdot3a%2Be%5Ccdot%28-a%29%3Df%5Ccdot%20a%5C%5Cd%5Ccdot5a%2Be%5Ccdot%28-2a%29%3Df%5Ccdot%20a%5Cend%7Bcases%7D)
Solving, we get:
For
,
![d=1,\\e=2,\\f=1](https://tex.z-dn.net/?f=d%3D1%2C%5C%5Ce%3D2%2C%5C%5Cf%3D1)
Therefore, our equation is:
.
Answer:
they are both equivalent if that's what you're asking
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
32 - 2 = 30
30 / 2 = 15
Answer: ![H'(4,-3)](https://tex.z-dn.net/?f=H%27%284%2C-3%29)
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.
In this case you know that the Pre-Image is the Triangle FGH.
You can identify in the picture that its vertex H has these coordinates:
![H(1,-2)](https://tex.z-dn.net/?f=H%281%2C-2%29)
Where:
![x=1\\y=-2](https://tex.z-dn.net/?f=x%3D1%5C%5Cy%3D-2)
Since the rule is:
→ ![(x+3,y-1)](https://tex.z-dn.net/?f=%28x%2B3%2Cy-1%29)
You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:
![H'=(1+3,-2-1)=(4,-3)](https://tex.z-dn.net/?f=H%27%3D%281%2B3%2C-2-1%29%3D%284%2C-3%29)