A 33kg child is on a swing that hangs from 3.00m long chains as shown in the figure below. if the maximum angle the child reache
1 answer:
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Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
<u>Background of the Discriminant</u>
The discriminant applies to quadratic equations when they are organised in standard form:
.
All quadratic equations can be solved with the quadratic formula: .
When is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
<u>Solving the Problem</u>
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We're given the above equation. It hasn't been organised completely in , but we can change that by adding 1 to both sides to make the right side equal to 0:
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Now that we can identify the values of a, b and c, we can plug them into the discriminant:
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
Answer:
a. $1.66
Step-by-step explanation:
We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.
We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that visits.
Now, we will divide total cost by 156 to find cost per visit.
Rounding to nearest hundredths, we will get:
Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.