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Mashutka [201]
3 years ago
8

The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0
Horizontal translation by h to the right (h>=0) is given by
g(x)=f(x-h)
For translation to the left, we have h=-3
g(x)=f(x-(h)) =f(x-(-3))=f(x+3)
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Please answer the following questions​
laila [671]

Answer:

4a) 110 square centimetres

4b) 127 square centimetres

6) 292 square centimetres

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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

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how many ways are there to distribute 4 different books to three different kids if each kid must have at least one book?
dmitriy555 [2]
3 different ways 1.3 1.3 1.3 and other
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3 years ago
Rewrite the following expression without using absolute value. <br> |√2+3-4|
balandron [24]

Answer:

.14

Step-by-step explanation:

|√2 + 3 - 4|

|√2 - 1|

|1.14 - 1|

|.14|

.14

Tell me if I am wrong.

Can I get brainliest

5 0
3 years ago
There are 650 sixth graders in the school and 338 of them are girls. What percent of the 6th grade students are girls?
Evgesh-ka [11]

Answer:

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Step-by-step explanation:

We know that there are 650 sixth-graders and 338 of them are girls, we are then asked to find the percentage of how many are girls.

We have the fraction 338 over 650 but need to reduce it.

To solve this, we need to find the GCF of 650 and 338, which is 26, so divide both the numerator and denominator by 26.

\frac{338/26}{650/26}

\frac{13}{25}

Now divide the 13 and 25 :

13 / 25 = 0.52

0.52 * 100 = 52%

Therefore, 52% of the sixth-graders in the school are girls

4 0
2 years ago
Read 2 more answers
Which of the expressions is equivalent to 3x^2y^3?​
gavmur [86]

Answer:

Step-by-step explanation:

The expression equivalent to 3x^2y^3 is

A. ( 9x^4y^6)^1/2

4 0
2 years ago
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