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1 year ago

Ava decided to move the cabinet to the

Mathematics

1 answer:

geniusboy [140]1 year ago

3 0

Transformation involves moving a shape away from its original position

The transformation to move the cabinet to a new position is translation
The transformation to place the chair directly across the couch is reflection

<em>The required diagrams to answer this question are missing; so, I will provide a general exam</em>

<em />

<u>(a) Moving the cabinets</u>

The question says that the cabinets are moved away from their original position.

Since terms like <em>"rotation" or "reflection"</em> are not used, then the general transformation used for "moving" is translation.

Hence, the transformation is translation

<u>(b) Changing the position of the chairs</u>

The question says that the chairs would be placed directly across the couch.

The term "directly across" is used for reflection of a shape.

Hence, the transformation is reflection

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A bank paid 2.3% interest on a money market account. What is 2.3% written as a decimal

DochEvi [55]

$1\%\ \ \rightarrow\ \ \frac{1}{100}=0.01 \\\\2.3\%\ \ \rightarrow\ \ x\\\\x= \frac{2.3\%\cdot0.01}{1\%} \ \ \ \Rightarrow\ \ \ x=0.023$

7 0

3 years ago

Read 2 more answers

Which equation can pair with x-y=-2 to create a consistent and dependent system?

MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

$x-y=-2$

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

$3(x-y)=3(-2) \\ \\ 3x-3y=-6$

So a system of two linear equation that is consistent and dependent is:

$\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.$

<h2>Learn more:</h2>

Graph of lines: brainly.com/question/14434483#

#LearnWithBrainly

3 0

3 years ago

The distance from Earth to the sun is about 9.3 × 10 7th power miles.

AURORKA [14]

<u>Answer:</u>

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

<u>Solution:</u>

Given, the distance from Earth to the sun is about $9.3 \times 10^{7} \mathrm{miles}$

The distance from Earth to the Moon is about $2.4 \times 10^{5} \mathrm{miles}$

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

$\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5$

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0

3 years ago

Please help with this problem

HACTEHA [7]

Answer:

x = 2

Step-by-step explanation:

Multiply both sides by (x-5) and expand:

(x+4)/(x-5)*(x-5) = -2(x-5)

x+4 = -2x+10

Subtract 4 from both sides:

x+4-4 = -2x+10-4

x = -2x+6

Add 2x to both sides:

x+2x = -2x+6+2x

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

7 0

2 years ago

Read 2 more answers

-1 and 3/5 divided by (-2/3) as a mixed number

goblinko [34]

Answer:

2 2/5

Step-by-step explanation:

change -1 3/5 to an improper fraction

-1 3/5 = -(5*1+3)/5 = -8/5

-1 3/5 ÷ -2/3 =

-8/5 ÷-2/3

copy dot flip

-8/5 * -3/2

24/10

divide top and bottom by 2

12/5

change back to a mixed number

5 goes into 12 2 times (5*2=10) with 2 left over

2 2/5

4 0

3 years ago