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Aleksandr [31]
3 years ago
12

Find the equation for the line passing through the point (−3,−3) and perpendicular to the line whose equation is −1x+2y+2=0.

Mathematics
1 answer:
RSB [31]3 years ago
6 0
First we have to figure out the slop of the given equation:
-1x+2y+2=0
y=1/2x - 1 

So the slope is 1/2. A line perpendicular to this line has a slope of the negative reciprocal of this slope. So the slope of the line you want to find is -2.

So:  y +3 = -2(x+3).

And you can expand into the form that you want (or just keep it this way). :)
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1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much
Mama L [17]
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
 For this case we must first take the amount $ per month.
 We have then:
 1 $ ---> 4000
 x = ----> 320000
 Solving for x we ​​have
 x = (320000/4000) * (1) = $ 80 / month
 We have then that 1 year two 12 months
 ($ 80 / month) * (12 months / 1 year) = $ 960 / year
 Answer
 the factory worker make 960 U.S. in dollars per year

 2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?

 For this case, the first thing you should know is that a week has 7 days.
 We can make a rule of three to find the number of ounces per week
 3 ---> 1
 x = ----> 7
 x = (7/1) * (3) = 21ounces / week
 Then, we should do the conversion of ounces to pounds
 1 oz = 0.0625 pounds
 Thus,
 (21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
 answer
 3 ounces of fish per day is 1.3125 pounds / week

 3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?

 The first thing you should know in this case are the following conversions:
 1 year = 365 days
 1 inch = 2.54 centimeters
 We have the annual average rainfall is
 500 (inches / year)
 Making the conversion we have
 500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
 3.45 (centimeters / days)
 Answer
 the town get each day 3.45 (centimeters / days)

4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
 The first thing you should know for this case are the following conversions
 1 hour = 60 minutes
 1 minute = 60 seconds.
 Making the right conversions we have
 330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
 On the other hand we have
 330 (min / day) * (60/1) (seconds / minutes) = 19800 sec / day
 answer
 330 (min / day) = 5.5hours / day
 330 (min / day) = 19800 sec / day
7 0
3 years ago
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