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kvasek [131]
3 years ago
11

A line includes the points (5, 3) and (6, 5). What is its equation in slope-intercept form?

Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer: m= 2

Step-by-step explanation:

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Diff Eq dy/dx= (ycos(x))/(1+y^2) initial condition is y(0)=1 work below ...?
Volgvan
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
5 0
3 years ago
Find the slope of the line that passes through the two points (0,1) and (-8, -7)
Crazy boy [7]

Answer:

<h3>The slope of the line is 1</h3>

Step-by-step explanation:

The slope of a line is found by using the formula

m =  \frac{y2 - y1}{x2 - x1}

where

m is the slope and

(x1 , y1) and ( x2 , y2) are the points

Substituting the above values into the above formula we have

Slope of the line that passes through

(0,1) and (-8, -7) is

m =  \frac{ - 7 - 1}{ - 8 - 0}  =  \frac{ - 8}{ - 8}  = 1

<h3>The slope of the line is 1</h3>

Hope this helps you

5 0
4 years ago
Peyton joins a video game club for a
Soloha48 [4]

answer:

2x + 12 = c

step-by-step explanation:

  • one time fee = $12
  • each game = $2
  • let x be the number of games
  • c = total cost

2x + 12 = c

7 0
3 years ago
270 cm of snow in 18hours​
saw5 [17]

Answer:

i'm sorry but where's the question?

7 0
3 years ago
Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female ru
Aleks [24]

Answer: 140 female runners

Step-by-step explanation:

First find out the number of runners:

= 42% * 10,000

= 4,200 runners

Then find out the number of female runners:

= 4,200 * 1/3

= 1,400 female runners

Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.

= 10% * 1,400

= 140 female runners

5 0
3 years ago
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