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3 years ago

Find the next three terms. 243, -81, 27, -9...

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

Hi there!

To find the answer, you divide one of the numbers by 3, and some others by -3.

I can show you how to do so! :D

243 ÷ -3 = -81

-81 ÷ 3 = 27

27 ÷ 3 = 9

Next three terms -

9 ÷ 3 = 3

3 ÷ 3 = 1

1 ÷ 3 = 0.3333, the 3 is repeating over and over again

I think this is the answer, based off my notes :)

That's your pattern!

Hope this helps!

Message me if you need anything else, I'd be happy to answer any other questions! :D

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Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

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C brecause he’s innocent

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Find the perimeter of WXYZ. Round to the nearest tenth if necessary.

yanalaym [24]

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of each segment.

✔️Distance between W(-1, 1) and X(1, 2):

Let,

$W(-1, 1) = (x_1, y_1)$

$X(1, 2) = (x_2, y_2)$

Plug in the values

$WX = \sqrt{(1 - (-1))^2 + (2 - 1)^2}$

$WX = \sqrt{(2)^2 + (1)^2}$

$WX = \sqrt{4 + 1}$

$WX = \sqrt{5}$

$WX = 2.24$

✔️Distance between X(1, 2) and Y(2, -4)

Let,

$X(1, 2) = (x_1, y_1)$

$Y(2, -4) = (x_2, y_2)$

Plug in the values

$XY = \sqrt{(2 - 1)^2 + (-4 - 2)^2}$

$XY = \sqrt{(1)^2 + (-6)^2}$

$XY = \sqrt{1 + 36}$

$XY = \sqrt{37}$

$XY = 6.08$

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

$Y(2, -4) = (x_1, y_1)$

$Z(-2, -1) = (x_2, y_2)$

Plug in the values

$YZ = \sqrt{(-2 - 2)^2 + (-1 -(-4))^2}$

$YZ = \sqrt{(-4)^2 + (3)^2}$

$YZ = \sqrt{16 + 9}$

$YZ = \sqrt{25}$

$YZ = 5$

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

$Z(-2, -1) = (x_1, y_1)$

$W(-1, 1) = (x_2, y_2)$

Plug in the values

$ZW = \sqrt{(-1 -(-2))^2 + (1 - (-1))^2}$

$ZW = \sqrt{(1)^2 + (2)^2}$

$ZW = \sqrt{1 + 4}$

$ZW = \sqrt{5}$

$ZW = 2.24$

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≈ 15.6

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3 years ago

Can someone please help?

Eva8 [605]

Answer: OPTION C

Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.

Therefore, you have:

$f(x)*g(x)=(12x^{2}-6x)(2x)$

Now, you must apply the distributive property, therefore, you obtain:

$f(x)*g(x)=24x^{3}-12x^{2}$

As you can see, the answer is the Option C.

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-- --

1 1

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3 + 4 = 2(3) + 1

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