2 years ago

Select the correct answer.

Mathematics

1 answer:

alukav5142 [94]2 years ago

8 0

Answer:

Graph W

Step-by-step explanation:

Because in 2016, there are twice the initial number which is 10, there are 20 destinations 1 year after 2015. In 2017, there's twice the amount of destinations in 2016. In 2016, there has been 20 destinations. 20x2 is equal to 40. Therefore, in 2017, there has been 40 destinations.

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Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .

natka813 [3]

Answer:

Triangle ABC is dilated by a scale factor of 1.5

Step-by-step explanation:

The general rule for the dilation about the origin with a factor of k is

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

You are given two triangles ABC and A'B'C'.

In triangle ABC:

A(2,4)
B(4,0)
C(6,6)

From the diagram, in triangle A'B'C':

A'(3,6)
B'(6,0)
C'(9,9)

As you can see

$A(2,4)\rightarrow A'\left(\dfrac{3}{2}\cdot 2,\ \dfrac{3}{2}\cdot 4\right)=A'(3,6)$
$B(4,0)\rightarrow B'\left(\dfrac{3}{2}\cdot 4,\ \dfrac{3}{2}\cdot 0\right)=B'(6,0)$
$C(6,6)\rightarrow C'\left(\dfrac{3}{2}\cdot 6,\ \dfrac{3}{2}\cdot 6\right)=C'(9,9)$