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Colt1911 [192]
1 year ago
13

the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they

are listed.

Mathematics
1 answer:
horsena [70]1 year ago
5 0

SOLUTION

We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).

In P(-5,1), x = -5 and y = 1

In Q(-4,6), x = -4 and y = 6 and

In R(-2,3), x = -2 and y = 3

\begin{gathered} P(-5,\text{ 1) translates to (-5 -8, 1) }\rightarrow P^i(-13,\text{ 1)} \\ Q(-4,\text{ 6) translates to (-4 -8, 6) }\rightarrow Q^i(-12,\text{ 6)} \\ R(-2,\text{ 3) translates to (-2 -8, 3) }\rightarrow R^i(-10,\text{ 3)} \end{gathered}

For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.

\begin{gathered} At\text{ K = 2,  }P^i(-13,\text{ 1)  }\rightarrow\text{   }2(-13,\text{ 1)  }\rightarrow\text{  }P^{ii}(-26,\text{ 2)} \\ Q^i(-12,\text{ 6)  }\rightarrow\text{  }2(-12,\text{ 6)  }\rightarrow\text{   Q}^{ii}(-24,\text{ 12)} \\ R^i(-10,\text{ 3)   }\rightarrow\text{   }2(-10,\text{ 3)  }\rightarrow\text{   R}^{ii}(-20,\text{ 6)} \end{gathered}

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the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining
AleksandrR [38]

<u>Answer:</u>

Below!

<u>Step-by step explanation:</u>

<u>We know that:</u>

  • 400 + 850 + m = 1500

<u>Solution of Question A:</u>

<u>Percent of children: Total children/Total attendance</u>

  • => 400/1500
  • => 4/15
  • => 0.27 (Rounded to nearest hundredth)
  • => 0.27 x 100
  • => 27%

<u>Hence, the percent of children is about 27%.</u>

<u>Solution of Question B:</u>

<u>Percent of women: Total women/Total attendance</u>

  • => 850/1500
  • => 85/150
  • => 17/30
  • => 17/30 x 100
  • => 17/3 x 10
  • => 170/3
  • => 56.67%

<u>Hence, the percent of women is 56.67%.</u>

<u>Solution of Question C:</u>

  • 400 + 850 + m = 1500
  • => 1250 + m = 1500
  • => m = 1500 - 1250
  • => m = 250

<u>Percent of men: Total men/Total attendance</u>

  • => 250/1500
  • => 1/6
  • => 0.17 (Rounded to nearest hundredth)
  • => 0.17 x 100
  • => 17%

<u>Hence, the percent of men is about 17%</u>

Hoped this helped.

BrainiacUser1357

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2 years ago
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