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3 years ago

What is the rule for reflecting over the y axis

Mathematics

2 answers:

vlabodo [156]3 years ago

5 0

Answer:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Step-by-step explanation:

finlep [7]3 years ago

5 0

Answer:

Step-by-step explanation:

The rule for reflecting over the y-axis is simple. Say you have the points (-8, 7) and you plot them on the graph. Your question says to reflect those points across the y-axis. Your new coordinates would then be shown as (8, 7). As you can see, the x-value is now the opposite of the x-value before reflecting across the y-axis. I hope this helped.

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3 years ago

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

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3 years ago

What is the length of BC? If your answer is not an integer, leave it in simplest radical form?

nexus9112 [7]

ANSWER

$|BC|=12\sqrt{2}\: ft$

EXPLANATION

The given right triangle is an isosceles triangle because

$m \: < \: B = 45 \degree = m \: < \: C$
This implies that,

$|AB|=12ft=|AC|$

From the Pythagoras Theorem,

$|BC|^2=|AB|^2+|AC|^2$

$|BC|^2= {12}^{2} + {12}^{2}$

$|BC|^2=2 \times {12}^{2}$

$|BC| = \sqrt{ {12}^{2} \times 2 }$

$|BC|=12\sqrt{2}\: ft$

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Step-by-step explanation:

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