Answer:
V=3456
Step-by-step explanation:
V=
Answer:
2x-1
Step-by-step explanation:
<h3>
Answer: Check out the diagram below.</h3>
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
we know that
The formula to calculate the slope between two points is equal to

<u>Part a) Find the slope of line PQ</u>

substitute in the formula


Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>

<u>Part b) Find the slope of line MN</u>

substitute in the formula


Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
Step-by-step explanation:
cot²x − cot x − 42
(cot x − 7) (cot x + 6)