Alex27trappidn
Answered

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If [tex]P=(3,4)[/tex], find:

[tex]R_{x-axis}(P)[/tex]

[tex]([?],[])[/tex]

Sagot :

GinnyAnsweridn
Sure, let's find the reflection of the point [tex]\( P = (3, 4) \)[/tex] across the x-axis.

### Step-by-Step Solution:

1. Identify the coordinates of the point [tex]\( P \)[/tex]:
[tex]\( P = (3, 4) \)[/tex]

Here, the x-coordinate is 3 and the y-coordinate is 4.

2. Understand the reflection process across the x-axis:
- When reflecting a point across the x-axis, the x-coordinate remains unchanged.
- The y-coordinate changes to its opposite (negative) value.

3. Apply the reflection process:
- The x-coordinate of [tex]\( P \)[/tex] remains the same: [tex]\( 3 \)[/tex].
- The y-coordinate of [tex]\( P \)[/tex] becomes the opposite: [tex]\( -4 \)[/tex].

Therefore, the reflected point [tex]\( R_{x-axis}(P) \)[/tex] is:

[tex]\[ (3, -4) \][/tex]

So, [tex]\( R_{x-axis}(P) = (3, -4) \)[/tex].

The solution:

[tex]\[ ([3], [-4]) \][/tex]

This gives us the final reflected point across the x-axis.
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