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.
The predicted time remaining has decreased by 30 years, so the second one would be the answer
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to determine the length of the hypotenuse
a^2 + b^2 = c^2
15^2 + 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Take the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
If you input: 1/0.00000001 in a calculator, the result will be a very large number
so as you get closer to zero, the result of 1/x larger until it becomes infinite (or undefined as some people like to call it) at 1/0
Answer:
The total fluid you have to drink is 10 7/10 = 10.7 cups.
Step-by-step explanation:
The daily requirement of water = 8 2/4 cups
Now, 
or, the daily water requirement = 8.5 cups
The daily requirement of milk = 2 1/5 cups
Now, 
or, the daily milk requirement = 2.2 cups
So, The total fluid needed = Cups of (Water + Milk) needed
= 8.5 cups + 2.2 cups
= 10.7 cups
Also, 
Hence, the total fluid you have to drink is 10 7/10 cups.
