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3 years ago

What scale factor is shown by this graph?

Mathematics

2 answers:

I am Lyosha [343]3 years ago

7 0

Answer:

The correct option is 2. The scale factor is 2.

Step-by-step explanation:

The coordinates of preimage are A(1,2), T(0,0), K(4,1) and L(3,2).

The coordinates of image are A'(2,4), T'(0,0), K'(8,2) and L'(6,4).

If a figure dilated by scale factor k with center at origin then the rule of dilation is

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

$A(1,2)\rightarrow A'(2,4)$

$k=\frac{\text{x coordinate of image}}{\text{x coordinate of preimage}}$

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

$k=2$

Therefore the scale factor is 2 and the correct option is 2.

notsponge [240]3 years ago

6 0

the scale factor is 2.

because

if you look at the length AL in the smaller shape, it is 2 squares.

now if you look at the length AL in the enlarged shape, it is 4 squares.

to find the scale factor, do 4 ÷ 2 which is 2.

therefore the scale factor is 2

You might be interested in

What is 3 divided by 5 5/8

Sauron [17]

If you would like to know what is 3 divided by 5 5/8, you can calculate this using the following steps:

5 5/8 = 45/8
3 divided by 5 5/8:
3 / 5 5/8 = 3 / 45/8 = 3 * 8/45 = 8/15

The correct result would be 8/15.

5 0

3 years ago

Read 2 more answers

Suppose that v is an eigenvector of matrix A with eigenvalue λA, and it is also an eigenvector of matrix B with eigenvalue λB. (

galben [10]

Answer:

(a) Yes, $λ_{A}+λ_{B}$

(b) Yes, $λ_{A}λ_{B}$

Step-by-step explanation:

First, lets understand what are eigenvectors and eigenvalues?

Note: I am using the notation $λ_{A}$ to denote Lambda(A) sign.

$v$ is an eigenvector of matrix A with eigenvalue $λ_{A}$

$v$ is also eigenvector of matrix B with eigenvalue $λ_{B}$

So we can write this in equation form as

$Av=λ_{A}v$

So what does this equation say?

When you multiply any vector by A they do change their direction. any vector that is in the same direction as of $Av$ , then this $v$ is called the eigenvector of $A$ . $Av$ is $λ_{A}$ times the original $v$ . The number $λ_{A}$ is the eigenvalue of A.

$λ_{A}$ this number is very important and tells us what is happening when we multiply $Av$ . Is it shrinking or expanding or reversed or something else?

It tells us everything we need to know!

Bonus:

By the way you can find out the eigenvalue of $Av$ by using the following equation:

$det(A-λI)=0$