Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:

Step-by-step explanation:
We know the slope-intercept form

Here,
Given the equation

simplifying to write in the lope-intercept form

Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:

Answer:
The correct option is D
The graph of f is shifted 8 units down to create the graph of g.
Explanation:
Given f(x) = x
If the graph of this function is shifted 8 units down, we have
x - 8
This is the function f(x) - 8
Since g(x) = f(x) - 8, we conclude that the graph of f is shifted 8 units down to create the graph of g.
The value would be zero (0) bcuz if all ends up being 0 no matter how many zeros then yes it would be 0 as the value
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³
Yes oh is it for a new pfp year anniversary of thanksgiving day at the same time and i dont