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2 years ago

Which matrix addition represents the geometric transformation of the given polygon 4 units up and 2 units left?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

5 0

Answer:

Step-by-step explanation:

You want to know the matrix addition representation of the translation (x, y) ⇒ (x-2, y+4) for the vertex coordinates of the parallelogram in the figure.

<h3>Transformation</h3>

Translating a point 2 units left subtracts 2 from its x-coordinate.

Translating a point 4 units up adds 4 to its y-coordinate.

<h3>Matrix representation</h3>

The coordinates of the figure are represented by a matrix with x-coordinates on the first row and y-coordinates on the second row.

The transformation will add -2 to all first-row (x) values, and +4 to all second-row (y) values. The matrix addition looks like ...

$\boxed{\left[\begin{array}{cccc}0&0&2&2\\-1&-3&0&-2\end{array}\right] + \left[\begin{array}{cccc}-2&-2&-2&-2\\4&4&4&4\end{array}\right]}$

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Is 0.062 equal to .062

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4 years ago

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One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?

3241004551 [841]

Hello :) = Merhaba :)

Answer:

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

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4 years ago

Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category

Jet001 [13]

Answer:

(a) GDP = $333.9 billion

(b) NDP = $322.1 billion

Step-by-step explanation:

(a) Compute GDP

This can be computed using the following formula:

GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)

Substituting the values into equation (1), we have:

GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9

Since all figures are in billions, we have:

GDP = $333.9 billion

(b) Compute NDP

This can be computed using the following formula:

NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)

Substituting the values into equation (2), we have:

NDP = $333.90 - $11.8 = $322.1

Since all figures are in billions, we have:

NDP = $322.1 billion

(c) Compute NI

This can be computed using the following formula:

NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)

Substituting the relevant values into equation (3), we have:

NI = $322.1 - $14.4 - $0.0 = $307.7

Since all figures are in billions, we have:

NI = $307.7 billion

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4 years ago

Shanice's school is selling tickets to a play. on the first day of ticket sales the school sold 11 adult tickets and 6 student t

andreyandreev [35.5K]

Answer:

$319

Step-by-step explanation:

add the money and then what u get for the money add it to the other numbers u have.

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3 years ago

Convert the following mixed number into improper fraction and vice versa:70/48

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$\frac{70}{40} \div \frac{2}{2}= \frac{35}{2} = 17 \frac{1}{2}$

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