X=20
measure of b is 92
measure of c is 40
Answer:
14
Step-by-step explanation:
14x-y=42
14x=42+y
y=14x-42
Answer:
The answer is the 3rd answer.
Answer:
Step-by-step explanation:
In a quadratic equation, a rule known as Vieta's Theorem tells us that roots 1 and 2 (we'll call them x1 and x2) added up is equal to -b/a, and x1 multiplied by x2 is equal to c/a. because x1-x2 is 6, and x1+x2=-b/a, which is -(-14), or 14, we can use the substitution method to find out the roots of the equation, being 4 and 10. When putting these roots into the equation, we get that 4^2-14(4)+q=0, and 10^2-14(10)+q=0. We can simplify these equations to make -40+q=0, and adding 40 on both sides gets us that q=40.
<u>To recap:</u>
Vieta's Formula:
use substitution to find the roots
enter the roots into the quadratic equation
solve the equation!
Answer: q = 40
Piece D is 6 inches long.