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Ghella [55]
3 years ago
10

What algebraic expression is the sum of 14 and a number

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

x + 14

Step-by-step explanation:

y = x + 14

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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).

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\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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