Umm no se odio las matematicas :(
The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
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Answer:
Scalene Traingle
Step-by-step explanation:
All the sides given are not equal so it is a scalene triangle
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
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After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
1) Nearest thousand: 457,000 (Look at the thousandths place. Is the number closer to 457,000 or 456,000?)
Hundred: 457,000 (Look at the hundredths place. Is the number closer to 456,000 or 457,000?)
Ten: 456,990 (Look at the tenths place. Is the number closer to 456,980 or 456,990?)
2) The value of the expression when x=6 is 27. Explanation:
6x-7
6(6)-7
36-7
27
The value of the expression when x=3 is 11
Explanation:
6x-7
6(3)-7
18-7
11
