simplify the difference. (–7x – 5x4 5) – (–7x4 – 5 – 9x) a. 2x4 2x 10 b. –14x4 10x 10 c. –14x4 – 10x 10 d. 2x4 2x 8
1 answer:
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Answer:
The Slope of Line 1 is ->
The Slope of Line 2 is ->
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: ->
which equals
which simplifies to
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: ->
which equals
.
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!
You find a parallelogram area by this formula:
Where b is its base and h, its height.
You get b's value applying distance between two points formula.
If A and B points form the base:
And h is the perpendicular distance between both bases.
You can visit next link to know further about it:
https://www.ck12.org/geometry/Distance-Between-Parallel-Lines/lesson/Distance-Between-Parallel-Lines
-GEOM/
And in attached picture you can find an example in progress you may want to finish.
Where b is its base and h, its height.
You get b's value applying distance between two points formula.
If A and B points form the base:
And h is the perpendicular distance between both bases.
You can visit next link to know further about it:
https://www.ck12.org/geometry/Distance-Between-Parallel-Lines/lesson/Distance-Between-Parallel-Lines
-GEOM/
And in attached picture you can find an example in progress you may want to finish.