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2 years ago

Select the correct answer.

Mathematics

2 answers:

Andru [333]2 years ago

7 0

Answer:

d is the answer

vagabundo [1.1K]2 years ago

5 0

Answer

D. `(y+4) = (5)/(3)(x+ 1)`

Step by step explanation

The given points are (-1, -4) and (2, 1)

Slope = (y2 - y1)/(x2 - x1)

= (1 - (-4)) / (2 - (-1))

= (1 + 4) / (2 +1)

m = 5/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

y -(-4) = 5/3 (x - (-1))

y + 4 = 5/3 (x + 1)

The answer is (y+4) = (5)/(3)(x+ 1)

Thank you.

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(-1,5) (0,2) in slope intercept form

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Answer:

Step-by-step explanation:

(-1,5) (0,2)

y2= 2, y1 = 5, x2 = 0, x1 = -1

Slope m = [y2 - y1]/[x2 - x1]

m = {2 - 5}/{0+1}

m = -3/1

m = -3

And

y - y1 = m(x - x1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

y = -3x - 3 + 5

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3 years ago

Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

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