Telephone wires strung between two poles are. ____ to the ground. A) perpendicular B) parallel C) vertical D) obtuse
1 answer:
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9514 1404 393
Answer:
a = 36
Step-by-step explanation:
A stationary point is where the function derivative is zero. Here, we have ...
y' = 2kx -16/x^2 = 0
For x = 2/3, this is ...
4/3k -16/(4/9) = 0
4/3k = 36
k = 27
Then the value of y at that point is ...
y = 27(2/3)^2 + 16/(2/3) = 12 +24 = 36
The stationary point of interest is (2/3, a) = (2/3, 36). a = 36.
Answer:
0.003
Step-by-step explanation:
Given: A roulette wheel consists of 38 numbers 1 to 36, 0, and double 0.
Smith bets that the outcome will be one of the numbers 1 through 12.
To find: probability that Smith will lose his first 5 bets
Solution:
Probability refers to chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Total number outcomes = 38
As Smith bets that the outcome will be one of the numbers 1 through 12, number of favourable outcomes is equal to 12.
So,
probability that Smith will loss his first bet =
Therefore,
Probability that Smith will lose his first 5 bets =
9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
