Which of these answers best describes the core?
1 answer:
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Answer:
The distance between E and F is 5 units
Step-by-step explanation:
<em>E</em><em> </em><em>and</em><em> </em><em>F</em><em> </em><em>are</em><em> </em><em>share</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>y-coordinates</em><em>.</em><em> </em><em>So</em><em> </em><em>for</em><em> </em><em>this</em><em> </em><em>part</em><em> </em><em>it</em><em> </em><em>is</em><em> </em><em>okay</em><em> </em><em>to not</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>distance</em><em> </em><em>formula</em><em>.</em><em> </em>
<em>So</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>having</em><em>:</em>
<em>E</em><em> </em><em>(</em><em>5</em><em>,</em><em>8</em><em>)</em><em> </em><em>and</em><em> </em><em>F</em><em> </em><em>(</em><em>5</em><em>,</em><em>3</em><em>)</em>
<em>EF</em><em> </em><em>=</em><em> </em><em>8-3</em><em>=</em><em>5</em>
<em>OR</em><em> </em>
<em>YOU</em><em> </em><em>CAN</em><em> </em><em>USE</em><em> </em><em>THE</em><em> </em><em>DISTANCE</em><em> </em><em>FORMULA</em><em> </em><em>AS</em><em> </em><em>INDICAYED</em><em> </em><em>IN</em><em> </em><em>THE</em><em> </em><em>PICTURE</em><em>.</em>
<em>Hopefully</em><em> </em><em>the picture</em><em> </em><em>is clear and understandable</em><em> </em><em>and</em><em> </em><em>younger</em><em> </em><em>the</em><em> </em><em>explanation</em><em>.</em>
Answer:
The solutions for your four question problem are:
a) t = D^-1(x) = (1/57)*x -(13/57)
b) t = D^-1(x) = 1 h
c) D^-1(x) represents time.
d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))
Step-by-step explanation:
a) Determine a formula in terms of x for: t = D^-1(x)
The distance in km from Tempe after t hours of driving is given by
x = D(t) = 13 + 57t.
We just need to find the value t function of x
x = 13 + 57*t
x -13 = 57*t
57*t = x -13
t = (1/57)*x -(13/57)
We can see the plots of both equation in the picture below.
b) Compute D^-1(70)
Once we find the expression for D^-1(x)
We substitute for x = 70 km
t = D^-1(x) = (1/57)*x -(13/57)
t = D^-1(x) = (1/57)*(70) -(13/57)
t = D^-1(x) = (70/57) -(13/57)
t = D^-1(x) = (1.228) -(0.228)
t = D^-1(x) = 1 h
c) In the expression D^-1(x) : what quantity (distance or time) does the x represent? what quantity (distance or time) does the entire D^-1(x) represent?
x represents Distance in both equations (D(t), and D^-1(x))
t represents Time in both equations (D(t), and D^-1(x))
Since t = D^-1(x),
D^-1(x) represents time.
d) Which of the following statements best describes D^-1(x)?
The number of hours of driving needed for Sarah to be x km from Tempe.
Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)
The expression for D^-1(x) can be found in the previous answers
t = D^-1(x) = (1/57)*x -(13/57)
The input is x (distance) and the output is t (time)
