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.
There is no pictures to choose the right one among tem.
However the equation could be rewritten as follows:
y=√(x²-9)
It is a HORIZONTAL parabola with the following constraint: 3=<x=<-3
The answer would be 9 you would add the 13 and 7 then have 20-5t=-25 then subtract 20 from 25 then you would have -5=-45 which is 9
28 is the least common multiple. To find the least common multiple, you look through the numbers both 4 and 7 go into. The smallest of those number is the least common multiple, or LCD.
Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.