We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)
Answer:
Correct option: (B) 1.495%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = the test is positive.
<em>A</em> = a person with the dominant allele
The information given are:
According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:
Use this law to compute the probability of person having a positive result as follows:
The percentage of positive result is: 0.01495 × 100 = 1.495%.
Thus, the percentage of the population will give a positive test is 1.495%.
Answer:
Step-by-step explanation:
The greatest common factor of 45 and 10 is 5
The value 5 is the largest factor shared in common between 45 and 10
We can factor each monomial as follows
45c = 5*9c
10d = 5*2d
Which allows us to say
45c + 10d = 5*9c +5*2d
45c + 10d = 5*(9c+2d)
Notice how I used the distributive property in reverse. If we distribute the 5 back in, we get 45c+10d again
Answer: 5(9c+2d)