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Pavel [41]
3 years ago
9

For what value of k will k+9,2k-1 and 2k+7 are the consecutive terms of an A.P

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

k = 18

the common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ = ....

a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and

a₃ - a₂ = 2k + 7 - (2k - 1) = 2k + 7 - 2k + 1 = 8, hence

k - 10 = 8 ⇒ k = 8 + 10 = 18

the 3 consecutive terms are

27, 35, 43


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on a scale drawing, 5 metres is represented by 4 centimetres. write the scale as a ratio in it's simplest form.​
ryzh [129]

Answer:

<em>The scale factor is 1:125</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

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telo118 [61]

Answer:

She read 15 fiction books

Step-by-step explanation:

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dolphi86 [110]

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30(x+1)^8 (x-4)^5

Step-by-step explanation

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as here in the question exponent of (x+1) are 3 and 8 so we take exponent 8

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so our expression for Least common multiple will be

2X3X5 X (x+1)^8 (x-4)^5

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