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3 years ago

Greatest common factor of 28 and 48 Is it 2 ?

2 answers:

8 0

The greatest common factor would be 4 since when you take 2 from both, you are left with 14 and 24 in which you can still take 2 from.

fomenos3 years ago

6 0

Yes the answer to this problem is 2

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Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

3 years ago

Read 2 more answers

There are 207 students in 9 classes at this rate how many are in 6 classes

soldi70 [24.7K]

There would be 138 students in 6 classes because first you'd divide 207 from 9 and get 23 then you'd multiply 23 to 6 and get 138.

5 0

3 years ago

Read 2 more answers

Compare the rates to find which is the better value.<br> $60 for 100 flyers or $95 for 250 flyers

Elis [28]

95 is the better deal it’s only 35 more bucks and you get 150 more.

8 0

3 years ago

Can someone help me with this?

Westkost [7]

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

7 0

3 years ago

Given complex numbers u and v below,what is uv<br><br> u=7i<br> V=6-i

boyakko [2]

Answer:

7 + 42i.

Step-by-step explanation:

u v = 7i(6 - i)

= 42i - 7i^2 But i^2 = -1 so:

= 42i - 7(-1)

= 7 + 42i.

6 0

3 years ago