Answer:

Step-by-step explanation:
We are given;
- The equation of a line 6x-2y=4+6y
- A point (8, -16)
We are required to determine the equation of a line parallel to the given line and passing through the given point.
- One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,
First we get the slope of the line from the equation given;
- We write the equation in the form y = mx + c, where m is the slope
That is;
6x-2y=4+6y
6y + 2y = 6x-4
8y = 6x -4
We get, y = 3/4 x - 4
Therefore, the slope, m₁ = 3/4
But; for parallel lines m₁=m₂
Therefore, the slope of the line in question, m₂ = 3/4
To get the equation of the line;
We take a point (x, y) and the point (8, -16) together with the slope;
That is;


Thus, the equation required is 
Applying a dilation centered at the origin with scale factor
has the effect of multiplying both coordinates of a point by
:

So, in your case, the coordinates of the points double:

Answer:

Step-by-step explanation:
● formulas of valume = πr²h
- 22/7×12×12×38•4 ft
- 3•14×144×38•4 ft
- 452•16×38•4 ft
- 17362•944 ft³
● now nearest to the number
- 17262•944 ft³ nearest tenth is 17360ft³.
Hope it's helps you
Answer:
Option D.
Step-by-step explanation:
The given inequality is
.
To graph this inequality, we need to graph the corresponding linear equation;

The intercepts are
and
.
Plot these two points and draw a solid straight line through them.
We then test the inequality with the point (0,0).
.
.
This statement is false.
So we shade the lower half plane to obtain the graph in option D.