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iren2701 [21]
3 years ago
5

A translation or rotation is a composition of two _____

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

<u>Answer:</u>

Reflections


<u>Explanation:</u>

<u>1- For translation:</u>

A translation can be a composition of a reflection as it can composed by two reflections over parallel lines.

These lines should be separated by a distance equal to half the distance of translation


<u>2- For rotation:</u>

A rotation can be a composition of a reflection as it can composed by two reflections over non-parallel lines.

These two non-parallel lines should intersect at the point representing the center of rotation


Hope this helps :)

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7

Slope (m) = \frac{5}{4}

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$\frac{5}{4}=\frac{r-1}{-7-(-15)}

$\frac{5}{4}=\frac{r-1}{-7+15}

$\frac{5}{4}=\frac{r-1}{8}

Do cross multiplication.

8 \times 5=4(r-1)

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

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Answer:it is 4.5

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9514 1404 393

Answer:

  A.  2.1

Step-by-step explanation:

Put the numbers in the equation and do the arithmetic.

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What is the simplified form of each expression?
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<h2>~<u>Solution</u> :-</h2>

According to the given question, we have to find the simplified form of the given expressions. Here, we have been given;

<h3>★ <u>Equation</u> 1 :-</h3>

\sf{(6 + 3)2 - 4}

\leadsto \sf{(9)2 - 4}

\leadsto \sf{18 - 4}

\leadsto \bf \red{14}

  • Hence, (6 + 3)2 - 4 is equals to 14.

\\

<h3>★ <u>Equation</u> 2 :-</h3>

\sf{23 + (14 - 4) \div 2}

\leadsto \sf{23 + (10) \div 2}

\leadsto \sf{23 + 5}

\leadsto \bf \red{28}

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