Examine triangle ABC. What is the value of x? 37 48 127 138
1 answer:
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The solution to the equations are:
- 9x² - 36x + 36 = 0 has two equal real solutions
- x² - x + 4 = 0 has no real solutions
- The factored expression of 4x² + 23 – 35 is 4(x² -3)
The equation is given as:
The above equation is a quadratic equation which can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of 0 means that the equation has two equal real solutions
Hence, 9x² - 36x + 36 = 0 has two equal real solutions
<h3>Part B: Describe the solution</h3>The equation is given as:
The above equation can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of -15 means that the equation has no real solutions
Hence, x² - x + 4 = 0 has no real solutions
<h3>Part C: The solution to the expression</h3>We have:
Evaluate the difference
Factor out 4
Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)
Read more about quadratic expressions at:
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We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:
Now that we have the quarts per hour rate, we can easily address the question: the factory could make
quarts in 48 hours, with a daily rate of
quarts per day