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Nezavi [6.7K]
3 years ago
7

If the point is reflected across the y-axis, what is the location of the new point? A) (2, 5) B) (2, −5) C) (−2, 5) D) (−2, −5)

Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0

Answer is 2, 5, I believe.

So sorry if I'm wrong.

OLEGan [10]3 years ago
7 0

Answer:

the anstwer is  (−2, 5

Step-by-step explanation:

The formula for the y-axis is -x,y so the X have to change for example if the coordinates were 4,5 the reflection of the y-axis will be -4,5

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For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (3, -5)\\(x_ {2}, y_ {2}): (0,4)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {4 - (- 5)} {0-3} = \frac {4 + 5} {-3} = \frac {9} {- 3} = - 3

Thus, the equation is of the form:

y-y_ {0} = - 3 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 3, -5)

Finally, the equation is:

y - (- 5) = - 3 (x-3)\\y + 5 = -3 (x-3)

Answer:

y + 5 = -3 (x-3)

Option D

6 0
4 years ago
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Match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. Use each word only o
pshichka [43]
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  3. Layered <u>sedimentary rock</u> exposed by erosion can be seen when looking at the Grand Canyon in the United States of America.
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  6. <u>Seafloor Crust</u>: found in the Atlantic Ocean between North America and Europe comprises dense and relatively young rock.
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<h3>What is seafloor spreading?</h3>

<u>Seafloor spreading</u> can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of <u>seafloor spreading</u> was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

<h3>What is a hot spot?</h3>

A <u>hot spot</u> refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered <u>sedimentary rock</u> that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick <u>continental crust</u>. Also, <u>subduction</u> causes the formation of extremely deep ocean Marianas Trench.

Read more on seafloor spreading here: brainly.com/question/12037536

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Step-by-step explanation:

Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.

Example:

A certain number is divided by half, the result is added to itself to give 6, what is the number?

Solution:

- Let the number be x

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In word problem, extra caution is to be taken, as misinterpretation can be very chaotic. Dividing a number by 2, is totally different from dividing the number by half.

4 divided by 2 is 4÷2 = 2

4 divided by half is 4÷½ = 4×2/1 = 8

2 and 8 are different, reason to be cautious.

So dividing x by half, we have:

x ÷ 1/2 = x × 2/1 = 2x.

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Solving this equation, we can obtain the value of x.

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Step-by-step explanation:

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