A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.
For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant
Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.
Answer:
Step-by-step explanation:
solve the following proportion?
5/10 = 8/w
5 : 10 = 8 : w
w = (10 * 8) : 5
w = 80 : 5
w = 16
----------------------
check
5 : 10 = 8 : 16
0.5 = 0.5
The answer is good
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,

or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Answer:
therefore the side of the square is 2x + 5.
Step-by-step explanation:
i) let the side of the square be a
ii) therefore the perimeter of the square = 4a
iii) therefore 4a = 8x + 20
iv) therefore a = 2x + 5
therefore the side of the square is 2x + 5.