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elixir [45]
2 years ago
13

The vertices of a triangle are P[4.1). Q(2.-8), and R(-8.1). What are the vertices of the image reflected across the y-axis?

Mathematics
1 answer:
geniusboy [140]2 years ago
5 0

Given:

The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1).

To find:

The vertices of the image reflected across the y-axis.

Solution:

The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1). It is reflected across the y-axis.

If a figure is reflected across the y-axis, then

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

Using this rule, we get

P(4,1)\to P_1(-4,1)

Q(2,-8)\to Q_1(-2,-8)

R(-8,1)\to R_1(8,1)

So, the vertices of the image are P_1(-4,1), Q_1(-2,-8), R_1(8,1).

Therefore, the correct option is B.

Note: Options are not in proper form.

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What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants
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Answers:

  • Ratio of consonants to vowels = 21:5
  • Ratio of vowels to total letters = 5:26
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================================================

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

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

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

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

Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

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