Answer: 9.5
Step-by-step explanation:
Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y
so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)
7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)
8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)
9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)
10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)
11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
x + 9 = 18 - 2x
Step 2: Add 2x on both sides
x + 2x + 9 = 18 - 2x + 2x
3x + 9 = 18
Step 3: Subtract 9 on both sides
3x + 9 - 9 = 18 - 9
3x = 9
Step 4: Divide both sides by 3
3x/3 = 9/3
x = 3
Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).
A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.
Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.
</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41
The distance from A to A' is √41.
Answer:
A. (x, y) -> (0.2x, 0.2y)
Step-by-step explanation:
I'll test this out with just point S if that's fine.
Point S's coordinates are (5, -5), as seen on the coordinate plane.
However, Point S' has coordinates of (1, -1).
Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).
So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.
