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svet-max [94.6K]
3 years ago
10

Janelle has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the

race and walking back the same distance to cool down. If she runs at a speed of 9 mph and walks back at a speed of 3 mph how long should she plan to spend walking back?
Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

The distance cover by him walking back is 11.25 miles

Step-by-step explanation:

Given as :

Time for Janelle to spend on training = 5 hours

The  running speed of Janelle = 9 mph

The walking back with 3 mph

Let The distance for running and walking is same i.e  D miles

SO, Time = \frac{Distance}{Speed}

∴  5 =  \frac{D}{9} +  \frac{D}{3}

Or, 5 × 9 = D + 3 D

Or, 45 = 4 D

∴   D = \frac{45}{4} = 11.25 miles

Hence The distance cover by him walking back is 11.25 miles   Answer

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--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

--------------------------------------------------------------------------  
Rearrange the equation
-------------------------------------------------------------------------- 
y - 9 = - \dfrac{1}{2} (x + 2) \\ \\&#10; y - 9 = - \dfrac{1}{2}x - 1 \\ \\&#10; y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\&#10; y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
-------------------------------------------------------------------------- 
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
--------------------------------------------------------------------------- 
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------  
y = 2x + 4

----------------------------------------------------------------------------  
Answer: y = 2x + 4
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undefined

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(-7, -7) and (-7, 1)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

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Simplify the parentheses.

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Simplify the fraction.

8/0

= undefined

Our line is a vertical line, which has an undefined slope.

Hope this helps!

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