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Vsevolod [243]
4 years ago
13

Simplify (3x+3)(x-4)=?

Mathematics
1 answer:
Novosadov [1.4K]4 years ago
3 0
(3x +3) (x - 4)
3x(x - 4) + 3(x - 4)
3x^2 - 12x + 3x - 12
3x^2 - 9x - 12
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I think these two are the right answer.

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The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of
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Answer:

1.\boxed{\text{400 ft}^{2}}; 2. \boxed{\frac{1}{3716}}

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is  

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is  

A = l² = (20 ft)² = \boxed{\text{400 ft}^{2}}\\

Step 2. Calculate the area ratios

We must express both areas in the same units.  

Let's express the area of the room in square centimetres.

l = 20 ft ×  (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\

The ratio of the area in the drawing to the actual area is \boxed{\frac{1}{3716}}

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