Answer:
Step-by-step explanation:
<u>Given is the system of linear equations:</u>
<u>Convert both equations into slope intercept form:</u>
- nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
- 12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x
<u>The system has no solution if lines have equal slopes with different y-intercepts:</u>
F(x)=4x²+6
This parabola intersects y-axis at y=6 ==>f(0) =
if g(x) is translated 4 units down that means the intersection with y-axis will be :
6-4 = 2 ; hence g(x) =4x² + 2
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
When you convert 11pi over 12 in to degrees, you get 165°
