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vladimir2022 [97]
3 years ago
10

On a picture the size of rectangular room is 5 cm by 7 cm. Actually the shorter side of the room is 6m. What is the scale of a p

icture and how long is the longer side of the room? SHOW YOUR WORK
Mathematics
1 answer:
taurus [48]3 years ago
8 0

Size of the room as depicted on the picture = 5 cm × 7 cm

Actual length of shorter side = 6 m

⇒ The size being shown at 5 cm is actually 6 m (or 600 cm)

⇒ In the picture, 1 cm represents \frac{600}{5} cm or 120 cm

Hence, the scale of the picture is 1 cm = 120 cm

⇒ Length of the longer side = 120 × 7 cm = 840 cm = 8.4 m

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Which two tables represent the same function?
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Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

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- The form of the equation of a line whose endpoints are (x1 , y1) and

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# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

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∴ \frac{y-8}{x-4}=\frac{-1}{2}

- By using cross multiplication

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∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

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# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ \frac{y-5}{x-4}=\frac{4-5}{6-4}

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- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ \frac{y-8}{x-2}=\frac{5-8}{8-2}

∴ \frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ \frac{y-10}{x-2}=\frac{14-10}{6-2}

∴ \frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

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# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

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∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

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15 + 19 + 23 = 57

Sorry
5 0
2 years ago
Read 2 more answers
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