Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:
Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:
Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:
Substitute:
Solve for <em>k</em>. Simplify:
Solve:
Thus, our answer is indeed A.
Answer:
Step-by-step explanation:
To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:
The midpoint is at 
. Where:
Then, the midpoint is at:
= 
Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:
⇒ 
=
Therefore, the point is 1/4 of the way from A to B is:
Answer:
x = 0
Step-by-step explanation:
Answer:
Red Ink pens.
Step-by-step explanation:
Red ink pens are sold at $1.50 while Black ink pens are sold at $30. One black ink pens cost more than one red ink pen by $28.50.
B and C can be divided by 9.
