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4 years ago

Simplify to create an equivalent expression. 8(a+2)+2(2+3a)=

Mathematics

1 answer:

Alchen [17]4 years ago

3 0

Answer:

14a + 20

Step-by-step explanation:

8(a + 2) + 2(2 + 3a)

expand the bracket

8a + (8*2) + (2*2) + (2*3a)

8a + 16 + 4 + 6a

bring like terms together

8a + 6a + 16 + 4

14a + 20

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The point A (-7,5) is reflected over the line x = -5, and then is reflected over the line x= 2. What are the coordinates of

liubo4ka [24]

Answer:

(7, 5) is the final reflection of the point.

Step-by-step explanation:

We are given point A(-7, 5) which is first reflected over the line $x= -5$ .

The minimum distance of the point A(-7, 5) from the line $x= -5$ is 2 units across the horizontal path (No change in y coordinate).

Point A lies 2 units on the left side of the line $x= -5$ .

So, its reflection will be 2 units on the right side of $x= -5$ .

Let its reflection be A' which has coordinates as (-5+2,5) i.e. (-3, 5).

Now A'(-3, 5) is reflected on the line $x=2$ .

The minimum distance of the point A'(-3, 5) from the line $x=2$ is 5 units across the horizontal path (No change in y coordinate).

Point A' lies 5 units on the left side of the line $x=2$ .

So, its reflection will be 5 units on the right side of $x=2$ .

Let its reflection be A'' which has coordinates as (2+5, 5) i.e (7, 5) is the final reflection of the point..

Please find attached image.

(7, 5) is the final reflection of the point.

5 0

3 years ago

A carpenter cut a board 3 3/4 feet long to make a shelf. Before he cut the board, it was 10 1/2 feet long.

viva [34]

Subtract 3 3/4 from 10 1/2. Note that the LCD is 4, so 10 1/2 = 10 2/4.

What is 10 2/4
- 3 3/4
-------------------------
?

Since 2/4 is smaller than 3/4, you must borrow 1 from that 10.

Now your problem looks like 9 6/4
-3 3/4
----------
6 3/4 (answer)

The remnant of the board is 6 3/4 feet long.

4 0

3 years ago

Read 2 more answers

When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a

kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

Solution:

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

$\frac{1}{10} \times 100 = 10$

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0

3 years ago

How to solve this problem

mylen [45]

I think. 2 over 3a3 + 3a2 - 3

5 0

3 years ago

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sist

I am Lyosha [343]

Answer:

80 gifts

Step-by-step explanation:

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sister have?

Let the Total gifts that her sister has be represented by x

Hence:

15% of x = 12

15/100 × x = 12

15x /100 = 12

Cross Multiply

15x = 100 × 12

15x = 1200

x = 1200/15

x = 80 gifts

Hence, the total gifts her sister has is 80 gifts

4 0

3 years ago

Read 2 more answers