If you apply two translations, then order doesn't matter. However, if you apply a translation and a rotation, then the order will matter because you'll be able to get two different image outputs. So it depends on what the transformations are.
Answer: Sometimes
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
Answer:
(x-4)
Step-by-step explanation:
Since a square has 4 equal sides, the perimeter of a square is 4 times one of the sides (which is equal to adding all the sides together). So:
Perimeter = 4(a side) = 4x-16
a side = (4x-16)/4 = (x-4)
-4y+5x=8
3y-3x=-3 --> divide by (3) y-x=-1
then multiply by (4) 4y-4x=-4
-4y+5x=8
4y-4x=-4
---------------
x=4
then plug x=4 in
4y-4x=-4
4y-4(4)=-4
4y-16=-4
4y=12
y=3
solution: (4;3)
