First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
The answer should be 112 degrees
what do you need help with, maybe I can help?
Answer:
7.2 minutes
Step-by-step explanation:
The formula to find the time using the radioactive decay rate formula is given as:
t = t½ × In(Nt/No)/-In2
Where
t½ = half life = 6 minutes
No = Initial Amount = 260 grams
Nt = Amount after decay
= 113 grams
Hence:
t = 6 × In(113/260)/-In2
t = 7.2131331036796 minutes
Approximately = 7.2 minutes
The answer is a vertical line on the negative -2 (x-axis).
