It's the third choice: only intersecting
Answer:
Step-by-step explanation:
<u>To factorize something</u>:
⇒ need to simplify the equation to its most basic form
<u>Let's solve</u>:

Thus the factorized form is ⇒ 
<u>Answer: 2x(x+3)</u>
<u></u>
Hope that helps!
Answer:
The line has a slope of -1.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like
, but in terms of finding a slope, it looks like
.
For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.




Next, plug in the information given from the question into the formula, and the formula will look like
. Then, simplify the equation, which will look like
. The final answer will be -1.
The specification of the problem includes a sketch of the relation between the towers showing two angles.
The sketch shows the segment of the track between the two towers (d), the heights of the two towers (954 feet and T), and the horizontal angles from the base of each tower to the top of the other tower.
Then you can write two trigonometric ratios.
1) From the triangle formed by the segment that separates the two towers, d, and the height of Sears Tower (T) with horizontal angle 27°:
tan (27°) = T / d => d = T / tan(27°)
2) From the triangle formed by the segment that separates the two towers, d, and the height of Comumbia Tower (954), with horizontal angle 53°
tan(53°) = 954 / d = > d = 954 / tan(53°)
Now you can equal the two equations => 954 / tan(53) = T / tan(27) =>
T = 954 tan(27) / tan (53) = 366.29 feet
Answer: 366.29 feet