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Mademuasel [1]
3 years ago
5

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
Hello,

I believe this is the right approach.
Good luck to you!

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What represents the recursive formula for the arithmetic sequence an=7-3(n-1)
Licemer1 [7]

Answer:

\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right..

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

  • The first term of this sequence, a_{1}.
  • The common difference between two consecutive terms of this sequence, d.

The arithmetic sequence in this question is given in the explicit form, a_{n} = 7 - 3\, (n - 1), which is equivalent to a_{n} = 7 + (-3)\, (n - 1). In the explicit form, a_{1} and d are described in the same equation:

\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}.

Compare a_{n} = a_{1} + d\, (n - 1) with a_{n} = 7 + (-3)\, (n - 1): a_{1} = 7 whereas d = -3.

When an arithmetic sequence is given in the recursive form, a_{1} and d are specified in two separate equations:

\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right..

In this question, it was found that a_{1} = 7 whereas d = -3. Hence, the corresponding recursive formula for this arithmetic sequence would be:

\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right..

7 0
3 years ago
What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?
Klio2033 [76]

Answer:

2x = -5 +/- root 5 (opt 3)

Step-by-step explanation:

0 = 4f(x)

 = 4(x^2 + 5x + 5)

 = 4x^2 + 20x + 20

 = (2x)^2 + 2*2x+5 + 25 - 5

 = (2x + 5)^2 - (root 5)^2

 = ((2x+5) - 5) ((2x + 5) + 5)

 = (2x + 5 - 5) (2x + 5 - 5)

Therefore, 2x = -5 +/- root 5

Hope u understand.

Please mark as the brainliest

Thank You

7 0
3 years ago
Helppppp (8th) plsss
IgorC [24]

Answer:

M= -2

Step-by-step explanation:

I hope this helps yoy

5 0
2 years ago
Read 2 more answers
What property is 150 + 214 + 89 equals 214 plus 89 plus 150
koban [17]
The property is the Commutative Property
7 0
3 years ago
Fill in the missing values.<br> 151.5 cm =? m<br> 151.5 cm = ? m<br> (Type an integer or a decimal.)
masha68 [24]

Answer:

151.5 cm = 1.515 m

151.5 cm = 1515/1000 m

6 0
2 years ago
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