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3 years ago

A line that includes the points (n,-6) and (-9,-4) has a slope of -15. What is the value of n?

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

n=-8.86

Step-by-step explanation:

Slope will determine the direction and the steepness of a function. It could be either increasing/decreasing depend on minus or plus. The formula for slope is

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

If you add (n,-6) and (-9,-4) to the equation, it will be:

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

-15= (-6--4)/ (n--9)

-15= (-2)/ (n+9)

-15(n+9) = -2

-15n - 135=-2

-15n= -2 + 135

n= -133/15

n= -8 13/15= -8.86

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3 years ago

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

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3 years ago

In which quadrant is the number –14 – 5i located on the complex plane?

AlekseyPX

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Rina8888 [55]

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