Which shows 0.124 in expanded form? A. ( 1 × 1 10 ) + ( 2 × 1 100 ) + ( 4 × 1 1000 ) B. 1 + ( 2 × 1 100 ) + ( 4 × 1 1000 ) C. 1 + ( 2 × 1 10 ) + ( 4 × 1 100 ) D. ( 1 × 1 10 ) + ( 20 × 1 100 ) + ( 400 × 1 1000

A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

Step-by-step explanation:

A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.

To write 0.124 in expanded form, follow these steps:

(i) Take the digits one after the other and multiply it by its value depending on its place.

Taking the first digit - 0

The value is 0 unit, where a unit is 1

Now multiply 0 by 1

=> 0 x 1

=> 0

Taking the second digit - 1

The value is 1 tenth, where a tenth is 1 / 10

Now multiply 1 by 1 / 10

=> 1 x 1 / 10

Taking the third digit - 2

The value is 2 hundredth, where a hundredth is 1 / 100

Now multiply 2 by 1 / 100

=> 2 x 1 / 100

Taking the fourth digit - 4

The value is 4 thousandth, where a thousandth is 1 / 1000

Now multiply 4 by 1 / 1000

=> 4 x 1 / 1000

(ii) Add the results obtained in (i) above

=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

Therefore,

0.124 in expanded form is  ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)