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3 years ago

What ordered pair is the reflection of (5,−8) across the x-axis and the y-axis?

Mathematics

2 answers:

zubka84 [21]3 years ago

7 0

The answer is B, (-5, 8)

emmainna [20.7K]3 years ago

3 0

Answer:

Option A - (-5,-8) ordered pair is the reflection of (5,−8) across the the y-axis.

Step-by-step explanation:

To find : What ordered pair is the reflection of (5,−8) across the x-axis and the y-axis?

Solution :

Reflection across x-axis - the x value stay the same and y value changes sign i.e. (x,y)→(x,-y).

So, (5,-8)→(5,8)

Reflection across y-axis - the y value stay the same and x value changes sign i.e. (x,y)→(-x,y).

So, (5,-8)→(-5,-8)

Therefore, option A - (-5,-8) ordered pair is the reflection of (5,−8) across the the y-axis.

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mezya [45]

Answer:

The 3rd set

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Lady bird [3.3K]

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

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ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

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