<em>Good luck, you'll need it :)</em>
Answer:
B) Its final coordinates are (8,-6)
Step-by-step explanation:
1. Translated 1 unit up and 4 units left
(-2,7) becomes (-6, 8)
2. Reflected about the x-axis
(-6,8) becomes (-6, -8)
3. Rotated 90° anticlockwise about the origin
(-6, -8) becomes (8, -6) because when rotating 90 degrees anticlockwise about the origin, point A (x,y) becomes point A' (-y,x). In other words, switch the x and y and make y negative.
Answer:
x = (c -mp)/g
Step-by-step explanation:
Subtract the term not containing x, then divide by the coefficient of x.
gx +mp = c . . . . . given
gx = c - mp . . . . . subtract mp
x = (c -mp)/g . . . . divide by g
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<em>Comment on the process</em>
This process can be described various ways. A usual description is "get the x term by itself on one side of the equal sign, then divide by the x-coefficient."
I like a more general description of the solution to "solve for" problems: undo what is done to the variable, in reverse order.
Here, the variable x is multiplied by g, then added to mp. To undo those operations (in reverse order), first we undo the addition of mp. We accomplish that by subtracting mp, or by adding the opposite of mp, as you wish.
Having done that, we undo the multiplication by g by dividing by g.
(gx)/g = (c -mp)/g
x = (c -mp)/g
The steps we actually perform here are identical to the steps in "get the x-term by itself, ...". However, the process we have described can be applied to any sort of equation, not just a 2-step linear equation.
