Hi there!
We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)
If b² - 4ac < 0, then the equation will have complex solutions. Therefore:
Plug in the given values of b and a to solve:
7² - 4(2)(k) < 0
Simplify:
49 - 8k < 0
Solve the inequality:
49 < 8k
6.125 < k
k > 6.125. Anything greater than 6.125 would result in complex solutions.
Answer:
Step-by-step explanation:
The center tells you how to handle the left side of a circle's equation.
(x - 2)^2 + (x - 1)^2 = r^2
The point (5,2) gives you enough information to find r^2
x = 5
y = 2
(5 - 2)^2 + (2 - 1)^2 = r^2
(3)^2 + 1^2 = r^2
9 + 1 = r^2
r^2 = 10
Complete equation
(x - 2)^2 + (y - 1)^2 = 10
One rope = 34m
12 ropes = 34 x 12 = 408m
Total cost = $3.50 x 408 = $1428
Answer:
133pi
98% sure this is right
circumference in pi form is the radius time 2 and then put pi after it
Step-by-step explanation:
Answer:
4n=c
Step-by-step explanation:
your trying to figure out how how much he paid and how much money it cost total so you have to multiply the cost of one by the number of notebooks you have n and by doing that you would be able to get your total cost c
