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2 years ago

Which expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?

Mathematics

1 answer:

vampirchik [111]2 years ago

5 0

16(2+5) since when you use distributive property, 16*2= 32 and 16*5= 80

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If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale facto

vazorg [7]

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

8 0

3 years ago

A square garden is 12 feet long on each side. Janet needs to put a post at each corner. She also needs to put one every 3 feet o

adelina 88 [10]

12ft = 4 posts
4 x 4
=16 - 4
= 12
There is 4 post on each side but there is an overlap so you must take off 4 so there is no overlap
Therefore there are 12 posts

4 0

3 years ago

HELP :)

juin [17]

The domain and range of each given relation is:

1. Domain - {3, 4, 5, 6, 7}

Range - {5, 15, 20, 25, 30}

2. Domain - {-1}

Range - {2, 4, 6, 8, 10}

3. Domain - {-6, -5, -3, -2}

Range - {1, 0, -1, -2, -3}

<h3>What is the Domain and Range of a Relation?</h3>

A pair of values of a relation is represented as (x, y).
The domain of a relation consists of all x-values.
Range consist of all y-values.

Thus, the domain and range of each given relation is:

1. Domain - {3, 4, 5, 6, 7}

Range - {5, 15, 20, 25, 30}

2. Domain - {-1}

Range - {2, 4, 6, 8, 10}

3. Domain - {-6, -5, -3, -2}

Range - {1, 0, -1, -2, -3}

Learn more about relation on:

brainly.com/question/1579288

3 0

2 years ago

Mack wrote the equation x² + 7x + 84 = x² + 13x + 30 to show that the area of a changed rectangle is 84 ft² greater than the are

Sliva [168]

3 was added to each side (K12)

4 0

3 years ago

Read 2 more answers

Y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4

sp2606 [1]

Answer:

a. True.

Step-by-step explanation:

y = kx

y = 2 when x = 8 gives:

2 = 8 * k

k = 2/8 = 1/4.

6 0

2 years ago