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jasenka [17]
3 years ago
13

Factor 12x6 - 27y4 completely

Mathematics
1 answer:
dlinn [17]3 years ago
7 0
3(2x^3+3y^2) (2x^3 -3y^2)
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Please answer the following questions​
laila [671]

Answer:

4a) 110 square centimetres

4b) 127 square centimetres

6) 292 square centimetres

8) 800 tiles

Step-by-step explanation:

4. We need to find the area of the large rectangle and then deduct the area of the unshaded part:

a) The large rectangle has dimensions 12 cm by 15 cm. Its area is:

A = 12 * 15 = 180 square centimetres

The unshaded part has a length of 15 - (3 + 2) cm i.e. 10 cm and a width of 7 cm. Its area is:

a = 10 * 7 = 70 square centimetres

Therefore, the area of the shaded part is:

A - a = 180  - 70 = 110 square centimetres

b) The large rectangle has dimensions 13 cm by 11 cm. Its area is:

A = 13 * 11 = 143 square centimetres

The unshaded part has dimensions 8 cm by 2 cm. Its area is:

a = 8 * 2 = 16 square centimetres

Therefore, the area of the shaded part is:

A - a = 143 - 16 = 127 square centimetres

6. The background area of the space not covered by the photograph is the area of the frame minus the area of the photograph.

The frame has dimensions 24 cm by 18 cm. Therefore, its area is:

A = 24 * 18 = 432 square centimetres

The photograph has dimensions 14 cm by 10 cm. Therefore, its area is:

a = 14 * 10 = 140 square centimetres

Therefore, the background area of the space not covered by the photograph is:

A - a = 432 - 140 = 292 square centimetres

8) The floor has dimensions 8 m by 4 m. The area of the floor is:

A = 8 * 4 = 32 square centimetres

Each square tile has dimensions 20 cm by 20 cm. In metres, that is 0.2 m by 0.2 m. The area of each tile is:

a = 0.2 * 0.2 = 0.04 square metres

The number of tiles that are needed is the area of the floor divided by the area of each tile:

A / a = 32 / 0.04 = 800 tiles

4 0
3 years ago
What is 3/5 times 20
igor_vitrenko [27]
First make 20 into a fraction, then solve; 3/5 · 20/1. 60/5 = 12. Hope that helps!
3 0
3 years ago
Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y
Agata [3.3K]
Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67
4 0
3 years ago
What is the value of b? <br><br> 22.5<br><br> 11.25<br><br> 12<br><br> 6
Helen [10]
11.25 seems to be the answer they want, despite the lack of important information.
7 0
3 years ago
Read 2 more answers
What is the best estimate of the number corresponding to A?
Pepsi [2]

Answer:

2.6

Step-by-step explanation:

Let us assume that the unit of measurement is centimetre (cm)

To obtain the value of A, do the following:

From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.

Next, we shall determine the value of 1 cm.

5 cm = 1 unit

Therefore,

1 cm = 1/5 = 0.2 unit

This means that 1 small line is equivalent to 0.2 unit.

Now we shall determine A as follow:

A is exactly 3 lines (3 cm) after number 2.

1 cm = 0.2 unit

3 cm = 3 x 0.2 = 0.6 unit

Now, add 0.6 to 2 to obtain the value of A.

A = 2 + 0.6

A = 2.6

Therefore, A correspond to 2.6

3 0
2 years ago
Read 2 more answers
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