Question

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.

Answer 1

Answer:

B.8.5

Step-by-step explanation:

I just did the test on usa

test prep and got it right

Answer 2

The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

• If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
• If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
• If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
• If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ $x_{1}$ = -5 and $x_{2}$ = 3

∴ $y_{1}$ = 2 and $y_{2}$ = 5

- Substitute these values in the rule of the distance

∵ $d=\sqrt{(3--5)^{2}+(5-2)^{2}}$

∴ $d=\sqrt{(3+5)^{2}+(3)^{2}}$

∴ $d=\sqrt{(8)^{2}+(3)^{2}}$

∴ $d=\sqrt{64+9}=73$

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

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