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aleksandr82 [10.1K]
2 years ago
8

Urgent need the answers plz help.

Mathematics
1 answer:
Ket [755]2 years ago
3 0

Answer:

(a) P" = (-4,-3)

(b) (x,y) \to  (4,-8)

Step-by-step explanation:

Given

P = (4,3)

Solving (a): Reflect across x and y-axis.

Reflection across x-axis has the following rules

(x,y) \to (x,-y)

So, we have:

P' = (4,-3)

Reflection across y-axis has the following rules

(x,y) \to (-x,y)

So, we have:

P" = (-4,-3)

Hence, the new point is: (-4,-3)

Solving (b): Rx . Do,2 (2,4)

R_x \to reflect across the x-axis

Reflection across x-axis has the following rules

(x,y) \to (x,-y)

So, we have:

(2,4) = (2,-4) ---- when P is reflected across the x-axis

D_{o,2} \to dilate by a scale factor of 2

The rule is:

(x,y) \to 2 * (x,y)

So, we have

(x,y) \to 2 * (2,-4)

Open bracket

(x,y) \to  (4,-8)

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Answer:

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<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

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<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
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