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.
you need to add for number one you need to subtract for number two you need to add for number 3 you need to subtract for number 4
Answer:
Step-by-step explanation:
The easy way to make 2 perpendicular lines is let one be x = 3 and let y = 2.
The third line can be anything that has a minus sign in front of the x. See the graph below. The third line cannot be perpendicular to the other 2.
Sorry, the bottom of the graph got cut off. If you print out the graph and extend the vertical line and the slanted line, you will see how this works.
The three lines are
Answer:
Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches
Step-by-step explanation:
Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
