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3 years ago

Which translation vectors could have been used for the pair of figures?

Mathematics

2 answers:

Ierofanga [76]3 years ago

7 0

if set up like

1 2

3 4

5 6

it would be 4 and 6

julia-pushkina [17]3 years ago

5 0

Answer:

The translation vectors are shown in below figure.

Step-by-step explanation:

In a translation of figures, if translation is described using vectors, then the vector that represents the distance and direction between preimage and image, is known as translation vectors.

In the given figure image and preimage are not mentioned and we need to find the translation vectors.

Case 1: Let (1) is preimage and (2) is image.

Connect any two corresponding vertices of preimage and image by using vectors.

Case 2: Let (2) is preimage and (1) is image.

Connect any two corresponding vertices of preimage and image by using vectors.

Therefore the translation vectors are shown in below figure.

If the oppositions are in the following way,

1 2

3 4

5 6

Then the correct options are 4 and 6.

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$S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\$

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The mean is the sum of all value divide by number of values

$\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298$

$\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6$

The estimate a of the intercept is

$a = \bar y - b \bar x$

$= 395.6 - 0.69 \times 298\\= 195.9$

General least square equation;

$\bar y = \alpha + \beta x$

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y = a + bx

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<em>Scatter plot is shown in the attached file</em>

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

$d_f_R = 1$

The degree of freedom of error is the sample size n decrease by 2

$d_f_E =n-2= 5 - 2=3$

Total df is equal to the sum of seperate degree of freedom dfR and dfE

total df = 1 +3 4

$SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296$

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

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