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AveGali [126]
3 years ago
9

Simplify -3(2.5-k)+0.5(7+8k)

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

-7•5+3k+3•5+4k

-7•5+3•5+4k+3k

-4+7k

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In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.
Blizzard [7]

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} * b* h

A = \frac{1}{2} × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

<em>Hope it helps!</em>

5 0
1 year ago
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How do you integrate <br><img src="https://tex.z-dn.net/?f=%283x%5E%7B2%7D%20%20%2B%203%29%20%5E%7B3%7D%20" id="TexFormula1" tit
Phoenix [80]

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)

              = 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6  + 81x^4 + 81x^2 + 27\\\\

\int\limits {(3x^2+3)^3} \, dx  = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx

                      = \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\

8 0
3 years ago
Genelle is paid $1,122.38 semimonthly. What is her average monthly net or take home pay ?
sveta [45]

Answer: $2244.76

Step-by-step explanation:

Well, <em>semimonthly </em>means that she is paid the amount of $1,122.38 twice a month. I am making the assumption that taxes have already been taken out of this amount, and the amount listed above is how much she will take home. I then multiplied $1,122.38 × 2 which equaled $2244.76. This is how much Genelle will take home monthly.

7 0
3 years ago
Using the equation y = 3x – 5, what would the output be for an input of 4
SSSSS [86.1K]
The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
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The output is 7.
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2 years ago
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Reduce the fraction: x-y/x^2-1 times x-1/x^2-y^2
Dominik [7]

Answer:

l

Step-by-step explanation:

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2 years ago
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