Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
1 answer:
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Answer:
Part a) Ernest's calculation was correct
Part b) Ernest's calculation was correct
Step-by-step explanation:
The picture of the question in the attached figure
<u><em>The complete question is</em></u>
Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.
Points: (60.900). (15, 450)
Slope : 900-450/60-15=450/45=10
Part a) Determine whether his calculation was correct or incorrect, and then explain why.
Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose
Part a)
we know that
The formula to calculate the slope between two points is equal to
we have the points
A(60,900),B(15,450)
Remember that
step 1
Find
substitute in the formula
step 2
Find
substitute in the formula
therefore
Ernest's calculation was correct, because
Part b) selecting two different points
we take the points
(0,300) and (50,800) -----> see the attached figure
substitute in the formula of slope
therefore
Ernest's calculation was correct
