Answer:
n = 16
Step-by-step explanation:
3^4(81^2) = 3^n
3^4(3^4) = 3^n
3^16 = 3^n
n = 16
Use distributive property
5(4x + 3) - 2x
20x + 15 - 2x
Simplify by liked terms
18x + 15
The solution is A
Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.
For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.
We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
The equation of our line is

.
Answer:
(3) y = 4x
Step-by-step explanation:
In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.
Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.
If you split a circle in to 4, and color in 3 of the 4 pieces you will find that 3/4 are bigger than 2/3