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madam [21]
2 years ago
15

Expand & Simplify

Mathematics
2 answers:
Talja [164]2 years ago
8 0

Answer:

10x^2-15x-5

Step-by-step explanation:

(3x-3)^2 + (x+4)(x-1)

9x^2-18x+9+x^2+3x-4

10x^2-15x+5

DaniilM [7]2 years ago
6 0

Answer:

{(3x - 3)}^{2}  + (x + 4)(x - 1) \\  =  {(3x)}^{2}  - 2 \times 3x \times 3 +  {3}^{2}  + ( {x}^{2}  - x + 4x - 4) \\  =  {(3x)}^{2}  - 18x + 9 +  {x}^{2}   + 3x - 4 \\  = 9 {x}^{2}  +  {x}^{2}  - 18x + 3x + 9 - 4 \\  = 10 {x}^{2}  - 15x + 5 \\ thank \: you

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Can someone help me with this please? Thank you!
Finger [1]

Answer:

528 cm²

Step-by-step explanation:

First I would calculate the area of the side rectangles:

20 x 9 = 180 cm²

There are two identical rectangles on both sides so i would x2

180 x 2 = 360 cm²

The area of the middle rectangle:

6 x 20 = 120 cm²

The area of the triangles:

Area of a triangle = (Base x Height)/2

8 x 6 = 48

48 ÷ 2 = 24

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24 x 2 = 48

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360 + 120 + 48 = 528 cm²

I hope this helps!

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If 20% of a number is 8, find 10% of that number.
Gemiola [76]

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Answer:

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Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100
Darina [25.2K]

Answer:

Step-by-step explanation:

given is a function as

y=\frac{27}{x^3}

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The curve from x=1 lies in the I quadratnt.

So area  above x axis is to be calculated

Area = \int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )

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area = \frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865

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area = \frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5

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