The rest station is the midpoint of the given coordinates:
(-20+35)/2 , for the x value and (15+-12)/2 for the y value.
Coordinates of the rest station: (7.5, 1.5)
How far is the destination? Use the distance formula : D² = √(x1-x2) + (y1-y2)
(-55)² + (27)² = D² D = √3754 = 61.27
Explanation:
If your actual answer is very far from your estimate, you probably made a mistake somewhere.
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<em>Additional comment</em>
50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.
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You may also find it useful to estimate the error in your estimate. That is, you may want to know the approximate answer to 2 (or more) significant digits in order to gain confidence that your calculation is correct.
Answer:
Step 5
Step-by-step explanation:
The mistake is in step 5.
The previous step was
The order operations, PEDMAS, must be applied:
We have Addition and Division here,
Using PEDMAS, we must divide first to get:
We can now add to get:
Therefore the mistake occurred at step 5
To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:
change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)
Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:
(v-4)/(-6) = 2
To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.
v-4 = -12
Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:
v = -8
Therefore, v =-8 is your answer.
Hope this helps!
