3 years ago

What is the distance between the points M-1,5)and Z(6,2)?

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:7.61577

Step-by-step explanation:

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An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?

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Answer:

12° and 168°

Step-by-step explanation:

If x is the angle, and y is the supplementary angle, then:

x + y = 180

x = y − 156

Solve the system of equations using substitution:

y − 156 + y = 180

2y = 336

y = 168

Plug back into either equation to find x:

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Step-by-step explanation:

a+s=14

a=14-s

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2 years ago

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

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3 years ago

What is the distance between the points M-1,5)and Z(6,2)?​

What is the distance between the points M-1,5)and Z(6,2)?