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3 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

Mathematics

2 answers:

777dan777 [17]3 years ago

6 0

Answer:

( 2 , 4 ) ( 6 , 4 ) ( 6 , -2 ) ( 2 , -2 )

Step-by-step explanation:

A (1,2) B (3,2) C (1,-1) D (3,-1)

Multiply each cordinate by 2

A (2,4) B (6,4) C (2,-2) D (6,-2)

...thats how I did it. I'm a K12 user

den301095 [7]3 years ago

3 0

Answer:

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

$(1,2)\rightarrow (2\times 1, 2\times 2)$

$(3,2)\rightarrow (2\times 3, 2\times 2)$

$(1,-1)\rightarrow (2\times 1, 2\times -1)$

$(3,-1)\rightarrow (2\times 3, 2\times -1)$

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

What is the answer if you factor completely

Sergeeva-Olga [200]

Answer:

Your correct and final answer is (9+x^6) (3+x^3) (3-x^3)

Hope this helps!!!

3 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!!

irakobra [83]

Answer:

1. The elephant should be given _ fl oz.

2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

3. 0.9 < 1.1

4. There are 7 tons in 14,000 pounds.

5. There are 17900 Milligrams in 17.9 grams.

Step-by-step explanation:

1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.

5.5 x 2,000 = 11,000

Then you have to divide 11,000 by 250.

11,000/250 = 44

2. Every term in Pattern B is 4 times less than the term in Pattern A.

3. 0.9 is smaller than 1.1.

4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.

5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.

4 0

3 years ago

Please help! 30 points and crown! A diagonal of a cube measures StartRoot 750 EndRoot cm. The diagonal of a face measures StartR

rodikova [14]

Let length, width, and height be s.

Then diagonal of any face would be √( s² + s² ) = √( 2s² )

And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.

Now we have to solve √( 500 ) = √( 2s² )

Square both sides:

500 = 2s²

Divide both sides by 2:

250 = s²

Take the square root of both sides:

√(250) = s ≈ 15.8113883

Rounding to nearest tenth:

s ≈ 15.8

Final answer: 15.8

Hope this helps.

8 0

3 years ago

Read 2 more answers

Which statement about triangles is true

Salsk061 [2.6K]

C is the correct answer. An equilateral triangle is a type of triangle.

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3 years ago