Slope of a line parallel to given line is equal to slope of given line.
<u>SOLUTION:</u>
Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.
We know that, slope of a line is tan( angle of a line made between that line and the x – axis)
So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.
Then, tan( angle by 1st line) = tan( angle by 2nd line)
Which means that, slope of two lines will be equal.
Hence, slope of a line parallel to given is equal to slope of given line.
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
Answer:
Step-by-step explanation:
It would be X=2 because axis of symmetry is the line passing through X=2.
