(-1, -5)
x-axis is to flip the y - coordinates
y-axis is to flip the x - coordinates
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.
Parallel lines are in the same plane, never intersect, and have the same slope.
Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer:
C
Step-by-step explanation:
g(x) = 4x²
g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:
g(1) = 4(1)² = 4
