Answer:
x = 60°
y = 72°
z = 48°
Step-by-step explanation:
x = 180 - p = 180 - 120 = 60
Since y;z = 3:2 , 2y = 3z or z = 2y/3
Now, x + y + z = 180
60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction
180 + 3y + 2y = 540
180 + 5y = 540
5y = 360
y = 72
z = 2(72)/3 = 48
Check: 60 + 72 + 48 = 180
The answer to the equation is 15
Answer:
Step-by-step explanation:
3x-5(-4)=23 (1,-4)
3x+20=23
-20
3x=3/3
x=1
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If , it has 2 real solutions.
- If , it has 1 real solutions.
- If , it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
#SPJ1