If two dice are thrown, what chance is there of rolling a total of 2? a
2 answers:
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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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Answer:
Step-by-step explanation:
First, we calculate the unknown angle of the left triangle and right triangle:
Unknown angle for left triangle⬆️
Unknown angle for right triangle⬆️
Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:
The angle 65° and angle of x are vertical angle.(both are equal)
So... <u>x= 65°</u>
<em>hope it </em><em>helps </em><em>:</em><em>)</em>