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.
<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;

Substituting p = 6, q = 4, r = 5, we get;

Simplifying, we get;


Dividing, we get;



Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.
I'm not sure, but I believe your answer would be
8/10 = 4/20
Forgive me if I'm wrong, but the others seem to say the same thing that this answer doesn't.
Answer:

Step-by-step explanation:
Given


Required
Determine the relationship between x and y
First, we calculate the unit rate, using:

Where k is the unit rate.
Substitute 176 for y and 44 for y

Divide both sides by 44




Substitute 4 for k in 

Hence, the relationship between x and y is: 