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Tomtit [17]
2 years ago
9

Find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5

Mathematics
1 answer:
Fudgin [204]2 years ago
4 0

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

a_{1} = - 12

a_{2} = - 12 + 5 = - 7

a_{3} = - 7 + 5 = - 2

a_{4} = - 2 + 5 = 3

a_{5} = 3 + 5 = 8

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If y varies inversely as X and Y equals 5 when x equals 3 find X when Y is 15​
omeli [17]

Answer:

x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 5 when x = 3

k = yx = 5 × 3 = 15, thus

y = \frac{15}{x} ← equation of variation

When y = 15 then

15 = \frac{15}{x} ( multiply both sides by x )

15x = 15 ( divide both sides by 15 )

x = 1

5 0
3 years ago
Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi
GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

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Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

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x = 7.99 cm

8 0
3 years ago
Colin buys a car for £27900 he
gogolik [260]
£27900*0.97^2=£26251.11

4 0
2 years ago
Find the equation of the straight line<br> that passes through (5, 6) and (5, −6).
GalinKa [24]

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

These points have the same x-coordinate, so are on the same vertical line:

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6 0
2 years ago
Please help on this one ?
xenn [34]
When you complete the synthetic division you get 9 as the remainder so your answer is A. 9

Work in image, sorry it’s super messy

6 0
3 years ago
Read 2 more answers
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