3 years ago

Please help...which of the following is an arithmetic sequence?

Mathematics

2 answers:

lbvjy [14]3 years ago

4 0

Answer:

0,2,4,6....

Step-by-step explanation:

Since only they have the common difference between them, they are in the arithmetic sequence

Hope it helps you

Please mark as the brainliest

Thank You

-Dominant- [34]3 years ago

3 0

Answer:

I would say its 0,2,4,6,....

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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

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

So, triangle ABC is dilated by a scale factor of $\dfrac{3}{2}=1.5$

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B3%7D%20-%208%20%7Bx%7D%5E%7B2%7D%20%20%2B%2019x%20-%209%29%20%5Cdiv%20%28x%

Anna [14]

$(x^3-8x^2+19x-9)\div(x-4)=x^2-4x+3\\\underline{-x^3+4x^2}\\=-4x^2+19x\\\underline{\ \ \ \ \ 4x^2-16x}\\.\ \ \ =3x-9\\\underline{\ \ \ \ \ -3x+12}\\.\ \ \ \ \ =\ 3$