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3 years ago

6

if a lawyer bills $350/hour, how much does he makes every second? how much does he make per year? assume he works 50 hours per w

eek, 48 weeks per year.

1 answer:

serg [7]3 years ago

5 0

5.83 every second, and 840000 a year.

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

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Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

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3+3+6+6=18

3*6=18

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