Create a model for each expression below. then, write another equivalent expression using the distributive property.
1. 3(x + y)
2. 4(2h + g)

Answer and  explanation:

To find : Create a model for each expression below. Then, write another equivalent expression using the distributive property ?

Solution :  

1)

Step 1 - First we create a model of x+y.

Ste 2 - The expression 3(x+y) tells us that we have 3 of the (x+y)’s.

Create a model that shows 3 groups of (x+y).

Step 3 - Count x’s and y’s,

3x's and 3y's.

Step 4 - We grouped together the x’s, and then grouped together the y's.

Step 5 - Write the expression as

Refer the attached figure below.

2)

Step 1 - First we create a model of 2h+g.

Ste 2 - The expression 4(2h+g) tells us that we have 4 of the (2h+g)’s.

Create a model that shows 4 groups of (2h+g).

Step 3 - Count 2h’s and g’s,

4(2h)'s and 4(g)'s.

Step 4 - We grouped together the 2h’s, and then grouped together the g's.

Step 5 - Write the expression as

Refer the attached figure below.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !