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harina [27]
3 years ago
5

Line 1 contains the points (6 1) and (6 50 write equation for line 2 that is perpindicular to line 1 and passes through the poin

t (14 17). write an equation for line 3 that is parallel to line 1 and passes through (-4 9)
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
Perpendicular: 
(50-1)/6-6= slope=undefined= vertical line 
y-17=0(x-14)
y-17=0
y=17

Parallel: 
since line 1 is vertical we need another vertical line in order for them to be parallel so the line is x=- 4 
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The function f(x) varies directly with x and f(x)=12 when x=8
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Find an equation for the perpendicular bisector of the line segment whose endpoints are
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3 years ago
Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?
pashok25 [27]

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

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profit%=profit/cost price*100

20%=x/$9000*100

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Now to find selling prie os a table use formula,

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Step-by-step explanation:

Hope this helps u!!

4 0
3 years ago
There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q
Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

\frac{nickel}{dime} = \frac{2}{3}

nickel = \frac{2}{3} dime

\frac{dime}{quarter} = \frac{2}{5}

quarter = \frac{5}{2}dime

So,

nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x  = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank    

3 0
3 years ago
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