5/8 = 3/4+1/16 is false because, the final values compared on each side of equation is not the same
- 5/8 = 0.625
- 3/4+1/16 = 0.8125
0.625 = 0.8125, it is not equal but less than
Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds = 
arc minute
12 arc seconds = 
arc minute
12 arc seconds = 
arc minute
So, 12 arc seconds = arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute = degree
arc minute = 
degree
arc minute = 
degrees
12 arc seconds = degrees
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:
um
Step-by-step explanation:
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