Write a linear function for the data in each table using function notation.
2 answers:
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Answer: Discriminant.
Step-by-step explanation:
1. The quadratic formula is:
2. And the discriminant is inside the square root:
2. Then, if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.
Recall the following formula:
Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.
Then, the area of the triangle is given by :
.
In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.
Substituting in the formula we have:
Thus,
, which means 
.
is the sine of 
, but also 
.
Answer: both 30, and 150 degrees are possible
Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.
Then, the area of the triangle is given by :
In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.
Substituting in the formula we have:
Thus,
Answer: both 30, and 150 degrees are possible