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stich3 [128]
4 years ago
10

Show each multi-step equation. Show your work.

Mathematics
1 answer:
BaLLatris [955]4 years ago
4 0
1. a-2+3=-2
a+1=-2
a=-1

2. 30=-5(6n+6)
30=-30n-30
60=-30n
n=-2

——————-
1. -9x>-90
x>10

2. -6b+2<56
-6b<52
b<-9
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The nth term in a sequence is 2n -6 work out the first three terms
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Answer:

The first three terms in the sequence are -4, -2, 0

Step-by-step explanation:

In any sequence n represents the position of the term in the sequence

<u><em>Examples:</em></u>

First term ⇒ n = 1

Second term ⇒ n = 2

Fifth term ⇒ n = 5

Let us solve our question

∵ The rule of the nth term is an = 2n - 6

→ We need to find the first three terms, means n = 1, 2, 3

∵ n = 1

∴ a1 = 2(1) - 6

∴ a1 = 2 - 6

∴ a1 = -4

∴ The first term is -4

∵ n = 2

∴ a2 = 2(2) - 6

∴ a2 = 4 - 6

∴ a2 = -2

∴ The second term is -2

∵ n = 3

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∴ a3 = 6 - 6

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3 years ago
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
ElenaW [278]

Answer:

A) 14°

Step-by-step explanation:

If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.

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So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.

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Answer:

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The easiest way to do this is converting all to a decimal

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