x = -3 , y = 6 , z = -4
Take Given equation :
⇒-15 + (-x) + y = 0
substitute values of x and y
⇒-15 + [- ( -3)] + 6
⇒-15 + (3) + 6
⇒-15 + 9
⇒-6
Hence, value of -15 + (-x) + y = - 6
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
Factor: 27x^2y - 43xy^2
Factors of 27:
1(27), 3(9)
Factors of 43:
1(43) no common number between these two.
Factor x, and y, as they present, therefore, the numbers cannot be factored. stay as is.
Your answer is: xy(27x - 43y)
Hope that helps!!!
X+3(x+2)=30
x+3x+6=30
4x=24
x=6
x+2=8
The numbers should be 6 and 8.