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aalyn [17]
3 years ago
7

Give the slope between the points (-2,3) (-5, -9)

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0
The slope is 4. i hope this helped:)
valentina_108 [34]3 years ago
4 0
M = (-9 - 3) / (-5 - -2)
m = -12 / -3
m = 4

The slope is 4.
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3 years ago
How is the sum expressed in sigma notation?<br><br> 11 + 17 + 23 + 29 + 35 + 41
Ann [662]
<h3>The sum expressed in sigma notation is:</h3>

11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

<u><em>Solution:</em></u>

Given that,

11 + 17 + 23 + 29 + 35 + 41

We have to express the sum in sigma notation

Analyse the series

5 + 6(1) = 11

5 + 6(2) = 17

5 + 6(3) = 5 + 18 = 23

5 + 6(4) = 5 + 24 = 29

5 + 6(5) = 5 + 30 = 35

5 + 6(6) = 5 + 36 = 41

<em><u>Thus the series goes on like this:</u></em>

5 + 6(n) , where n = 1 to 6

<em><u>This can be expressed in sigma notation as:</u></em>

11+17+23+29+35+41=\sum\limits_{n=1}^{6}5+6n

<em><u>We can expand the sigma notation and verify the results</u></em>

\sum\limits_{i=1}^{6}5+6i=(5+6(1))+(5+6(2))+(5+6(3))+(5+6(4))+(5+6(5))+(5+6(6))\\\\\\\sum\limits_{i=1}^{6}5+6i=(5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)\\\\\\\sum\limits_{i=1}^{6}5+6i=11+17+23+29+35+41

8 0
3 years ago
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Find the slope-intercept form from the two points (0,8)<br> and (1, 10).
ratelena [41]

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10):  x increases by 1.  This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m:  y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8

3 0
3 years ago
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