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Artist 52 [7]
3 years ago
9

What is the slope of the line that passes through (3, 5) and (-2, 6)?​

Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0

Answer:

0.2

Step-by-step explanation:

θ =  

arctan( ΔY ) + 180°

ΔX

= 168.69006752598°

ΔX = -2 – 3 = -5

ΔY = 6 – 5 = 1

Distance (d) = √ΔX2 + ΔY2 = √26 = 5.0990195135928

Equation of the line:

y = -0.2x + 5.6

or

y =  

- 1 x

5

+  28

5

When x=0, y = 5.6

When y=0, x = 28

djverab [1.8K]3 years ago
5 0

Answer:

-0.2

Step-by-step explanation:

goodluck:)

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The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

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2 years ago
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