I need the area of a rectangle, the middle is 5ft the right is 6ft and the bottom is 5ft. thank u

Divide: 4/0 is it 0, undefined, 1, 4 or none of the above?

Gennadij [26K]

Answer: Undefined

Step-by-step explanation:

4/0 is undefined. This is because any number divided by zero is undifined.

7 0

3 years ago

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Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t

charle [14.2K]

Answer:

A dilation by a scale factor of 4 and then a reflection across the x-axis

Explanation:

1. Vertices of triangle FGH:

F: (-2,1)
G: (-3,3)
H: (0,1)

2. Vertices of triangle F'G'H':

F': (-8,-4)
G': (-12,-12)
H': (0, -4)

3. Solution:

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:

Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)

(0,1) → 4(0,1) = (0,4)

Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

(0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

Dilation by a scale factor of 4: multiply each coordinate by 4

4(-2,1) → (-8,4)

4(-3,3) → (-12,12)

Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

(-8,4) → (-8,-4) ⇒ F'

(-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.

4 0

3 years ago

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a pack rat has 130 piglets and 110 books. She wants to maintain this ratio in her collection but needs to sell some of her items

bija089 [108]

The number of items she should sell from her collection is 24

<h3>How to determine the number of items she should sell from her collection?</h3>

From the question, we have the following parameters that can be used in our computation:

Ratio = Piglets : Books

For 130 piglets and 110 books, we have the following representations

Ratio = 130 : 110

Also, for 13 piglets, we have the following representations

Ratio = 13 : Books

Using the above as a guide, we have the following:

13 : Books = 130 : 110

This can also be rewritten as

Books : 13 = 110 : 130

Multiply the second ratio by 1/10

So. we have

Books : 13 = 11 : 13

By comparison, we have

Books = 11

So, the total items sold is

Items = 11 books + 13 piglets

Evaluate

Items = 24 items

Hence, the number of items is 24