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avanturin [10]
3 years ago
14

Point Q(-1, 5) is reflected across the line x = -1. What are the coordinates of its image?

Mathematics
2 answers:
STALIN [3.7K]3 years ago
6 0
The third one is the answer



(1,5)




good luck
Viktor [21]3 years ago
4 0

Answer:  The correct option is

(A) (-1, 5).

Step-by-step explanation:  Given that the point Q(-1, 5) is reflected across the line x = -1.

We are to find the co-ordinates of the image of Q.

For the point Q(-1, 5), we have

x co-ordinate = -1    and    y co-ordinate = 5.

So, the point (-1, 5) lies on the line x = -1. The point Q(-1, 5) and the line x = -1 is shown in the attached figure below.

Therefore, the reflection of the point Q(-1, 5) across the line x = - 1 will be itself. Thus, the co-ordinates of the image of Q(-1, 5) after reflection is Q(-1, 5).

Option (A) is CORRECT.

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Step-by-step explanation:

So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.

The tangent function is useful here. By its definition, we know that ...

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and

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Then we can solve for TH by substituting for TA. From the first equation, ...

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From the second equation, ...

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