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NemiM [27]
3 years ago
12

Point D(−1, 5) is reflected across the x-axis.

Mathematics
2 answers:
lawyer [7]3 years ago
6 0

The answers are A and B, -5 and -1. Hope this helps!

vovikov84 [41]3 years ago
3 0

<u>Answer-</u>

<em>The coordinates of D' are (-1, </em><em>-5</em><em>)</em>

<u>Solution-</u>

The coordinates of D are (-1, 5).

While reflecting any points across the x-axis with coordinates as (x, y) becomes, (x, -y). i.e sign of y-coordinate changes.

The rule is (x, y) → (x, -y)

Applying so, after reflecting point D, its reflection D' will have coordinates as (-1, -5)

Therefore, the y-coordinate is -5.


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ra1l [238]
<h3>Answer:   5</h3>

=================================================

Work Shown:

x^2 - 5x + 1 = 0

x^2 + 1 - 5x = 0

x^2 + 1 = 5x

(x^2 + 1)/x = 5    .... where x is nonzero

(x^2)/x + (1/x) = 5

x + (1/x) = 5

---------------

An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.

In this case,

p = (5 + sqrt(21))/2

q = (5 - sqrt(21))/2

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