Answer:
Option C. positive
Step-by-step explanation:
we know that
If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions
If the discriminant of a quadratic function is zero, then the quadratic function has one real solution
If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions
In this problem
The quadratic function has two real solutions (x-intercepts)
therefore
The discriminant is positive
When one number will divide exactly into the other one then the other one will be the LCM. For example the LCM of 4 and 8 = 8 .
When they do not divide as above then the product of the numbers may be the LCM. For example the LCM of 3 and 4 = 3*4 = 12.
The product is not always the LCM. It might be a lower number . For example the LCM of 4 and 6 is not 24 but 12. ( 24 / 2).
Answer:
No solutions
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
The length of side AC is 5 units.
The areas of triangle ABC is 10 square units.
Step-by-step explanation:
From point A (1,3) to point C (1,-2) is 5 units
To check this:
3 - (-2) = 3 + 2 =5
We're subtracting since the point went down (from positive 3 to negative 2)
Now for the area:
Area formula for a triangle: 
bh = ⋅b⋅h
We already found the height (length) : 5
The base is from point C (1,-2) to point B (5,-2), which is 4 units
To check this:
5 - 1 = 4
Now that we have found the base and height, Let's solve:
⋅4⋅5 = ⋅20 = 10
Our area is 10 square units.
Hope that helps :)
