Answer: 16 and 40. 24 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given probabilities are:
Their sum is 
The probabilities that will complete the model should add up to 
so that the sum of all probabilities is 1.
Answer:
C
Step-by-step explanation:
For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.
A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.
B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.
D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.
C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.
Given:
The quadratic equation is
To find:
The x-intercepts of the given equation.
Solution:
We have,
Splitting the middle term, we get
For x-intercepts, y=0.
Using zero product property, we get
So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.
Answer:
The roots of the given equation are x = 0 and x = -8.
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
Quadratic Equations
- Solving quadratic equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
y = x² + 8x
<u>Step 2: Find Roots</u>
- [Quadratic] Factor: y = x(x + 8)
- [Quadratic] Set up [Solve]: 0 = x(x + 8)
- [Quadratic] Define: x = 0, -8
∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.
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Topic: Algebra I
