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My name is Ann [436]
3 years ago
5

write an equation in slope-intercept form for the line that satisfies the following condition. passes through (12,-4), perpendic

ular to the graph of y = 7/12x + 23
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
Since we are given the equation of the line in which our line of interest is perpendicular with, we can obtain the slope of our line which is basically the negative reciprocal of the slope of the given line. 

m1 = 7/12

therefore

m2 = -12/7

the form of the equation is

(y - y1) = m2 (x - x1)

substituting values 

(y + 4) = (-12/7) (x -12)

y = (-12/7)x + 116/7
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Answer:

there are 70 possible choices for the four locations to apply the new ointment

Step-by-step explanation:

Since we have a total of 8 locations ( 4 to the new ointment and 4 to the control) ,  each one can be chosen and since the order of the locations that are chosen for the new ointment is not relevant  , then we know that the number of choices is given by the number of combinations of 4 elements in 8

number of combinations = 8 possible locations to the first ointment * 7 possible locations to the second ( since the first one was already located) * 6 to the third * 5 locations for the fourth / number of times the same combination is repeated ( the same locations but in different positions) = 8*7*6*5 / (4 possible positions for the first ointment* 3 possible positions to the second ointment (since the first one was already located * 2 possible positions of the third * 1 possible position of the fourth)

therefore

number of combinations = 8*7*6*5/(4*3*2*1 ) = 8!/((8-4)!*4!) = 70 possible combinations

thus there are 70 possible choices for the four locations to apply the new ointment

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