Solve for x: -1/9(x-27)+1/3(x+3)=x+4
1 answer:
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Answer:
1.309 rad
Step-by-step explanation:
We are told to convert 75° to radians.
# we know that 1° is equivalent to 0.01745radians.
-To convert any angle degree to radians, we multiply it by π/180 or 0.01745rad:
Hence, the radian equivalent of 75 is 1.309 rad
The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Step-by-step explanation:
Let us revise some notes:
- If a line is drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
- If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy
- To find the equation of AB subtract OB from OA, then AB = (c - a)x + (d - b)y
- The slope of line AB =
∵ oa = 2 x + 9 y
∵ ob = 4 x + 8 y
∵ ab = OB - OA
∴ ab = (4 x + 8 y) - (2 x + 9 y)
∴ ab = 4 x + 8 y - 2 x - 9 y
- Add like terms
∴ ab = (4 x - 2 x) + (8 y - 9 y)
∴ ab = 2 x + -y
∴ ab = 2 x - y
∵ The slope of ab =
∵ Coefficient of x = 2
∵ Coefficient of y = -1
∴ The slope of ab =
∵ cd = 4 x - 2 y
∵ Coefficient of x = 4
∵ Coefficient of y = -2
∴ The slope of cd =
∵ Parallel lines have same slopes
∵ Slope of ab = slope of cd
∴ ab // cd
The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Learn more;
You can learn more about the parallel lines in brainly.com/question/10483199
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