A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is
1 answer:
Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are
Assuming the plane is cutting the prism horizontally, the cross section would have dimensions
Because only the height would be cut.
So, the perimeter of the rectangle cross-section is
Therefore, the perimeter of the cross section is 30 centimeters.
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Answer:
Step-by-step explanation:
The given equation is written in slope-intercept form:
where:
- <em>m is the slope</em>
- <em>b is the y-intercept</em>
- <em>x and y are the corresponding coordinate points (x,y)</em>
The slope is 2:
When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:
This can be seen as:
Flip the fraction (reciprocal):
→
Now find the opposite:
→
So the slope of the perpendicular line is:
Now make an equation written in point-slope form:
where:
- <em>m is the slope</em>
- <em />
<em> and </em>
are the corresponding coordinate points
Insert information:
Simplify to slope-intercept form. Solve for y:
Use the distributive property:
Add 3 to both sides to isolate the variable:
:Done