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olganol [36]
2 years ago
14

What is 5/7 = p + 4/7=?

Mathematics
1 answer:
Rudiy272 years ago
8 0
<h3>Linear equations</h3>

The graphical representation of a linear equation is a straight line.

To solve linear equations, it is important to keep in mind the following key concepts:

  • Maintain the balance of the equation by applying the same operations to both sides of the equation.
  • Clear the variable by grouping like terms.
  • Use inverse operations to order the equation.

\large\displaystyle\text{$\begin{gathered}\sf \frac{5}{7}=p+\frac{4}{7} \ \Rightarrow \ \ Exercise \ to \ solve.   \end{gathered}$}

Subtract 4/7 from both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{7}\blue{-\frac{4}{7} }=p+\frac{4}{7}\blue{-\frac{4}{7} }   } \end{gathered}$}

Simplify

Subtract the numbers

\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{1}{7}=p+\frac{4}{7}-\frac{4}{7}   } \end{gathered}$}

Subtract the numbers

\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{1}{7}=p   } \end{gathered}$}

The variable is moved to the left.

\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{1}{7} \ \ === > \ \ Answer } \end{gathered}$}

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Line L is mapped onto the line t by a dilation centered at
STatiana [176]

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

  • If the equation of a  line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
  • The line and its image are parallel
  • The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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4 years ago
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s344n2d4d5 [400]

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