Write the equation of the line that passes through the points (4,9) and (9,1). Put

Mathematics

1 answer:

Sonbull [250]3 years ago

7 0

Answer:

y=-8/5x+77/5

Step-by-step explanation:

The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!

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What is 1/6 divided by 3/4

riadik2000 [5.3K]

Answer:

2/9

Step-by-step explanation:

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3 years ago

How to write y-6=-5/2 (x+4)

coldgirl [10]

Answer:

In point slope form, this is y = (-5/2)x + 2. In standard form, it's (5/2)x + y = 2.

Step-by-step explanation:

y-6=-5/2 (x+4) has already been written in point-slope form. The slope of the line is -5/2 and the point on the line is (-4,6).

In slope-intercept form: add 6 to both sides of the original equation, obtaining y = 6 - (5/2)(x + 4), or y = 2 - (5/2)x, or y = (-5/2)x + 2

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3 years ago

Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

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so as you can see the common ratio is 2, and the first term is 1/2,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$