Answer:
His acceleration is
meters per seconds²
Step-by-step explanation:
Acceleration is the rate of change of the speed
The formula of acceleration is
, where
is the final speed
is the initial speed- The unit of the acceleration is meters/second²
∵ Jim goes from 70 meters/minute (beginning speed) to
106 meters/minute (final speed) in 9 seconds
∴ His initial speed
= 70 meters/minute
- Change it the meter per second
∵ 1 minute = 60 seconds
∴
meters/second
∴
=
meters/second
∵ His final speed
= 106 meters/minute
- Change it the meter per second
∴
meters/second
∴
=
meters/second
∵ The time of the change of his speed is 9 seconds
∴ t = 9
∵ The formula of acceleration is 
- Substitute the values of t,
and
in the formula above
∴ 
∴ His acceleration is
meters per seconds²
Answer:
x = 7
Step-by-step explanation:
Parallel lines so their the same
11x - 2 = 75
add 2 to both sides
11x = 77
divide both signs with 11
x = 7
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have


The equation of the line into point slope form is equal to

substitute



Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so

the slope of the line 1 is equal to

Find the slope m2


Find the equation of the line 2
we have


The equation of the line into point slope form is equal to

substitute



Part 3) we have

The equation of the line into point slope form is equal to

substitute



Part 4) we have

-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to

substitute the values

Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to

therefore
in this problem we have


The equation of the line into point slope form is equal to

substitute



Part 6)
using a graphing tool
see the attached figure
Answer:
Parallel
<u>Step-By-Step Explanation:</u>
Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15
6x+3y = 15
3y = -6x + 15
3y/3 = -6x/3 + 15/3
y = -2x + 5
<u>We can see that the slope of 6x+3y = 15 is -2</u>
Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x
y–3=–2x
y = -2x + 3
Here are our two Functions In Slope Intercept Form
y = -2x + 5
y = -2x + 3
<u>Remember the m = slope and the b = y-intercept</u>
y = mx + b
y = -2x + 5
y = -2x + 3
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We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.