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Rina8888 [55]
3 years ago
8

A given line has the equation 2x + 12y = −1.

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

Step-by-step explanation:

Perpendicular lines have slopes that are opposite reciprocals of each other.  In order to write the equation of a line perpendicular to the one given, we need to find the slope of the given line and then take the opposite reciprocal of it.  The current form the line is in does not give us a clear idea of what the slope is.  We will first put the given line into slope-intercept form (right now it's in standard form, which is not helpful for anything at all!).  Solving the given equation for y:

12y = -2x - 1 and

y=-\frac{1}{6}x-\frac{1}{12} (notice I reduced the slope's fraction from -2/12)

That means that the slope of the given line is -1/6.  So the perpendicular slope is positive 6/1 or just 6.  

Using that slope and the given point in point-slope form to write the equation:

y - 9 = 6(x - 0) and

y - 9 = 6x - 0 and

y = 6x + 9

There you go!

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DAVID PLZ HELP LAST ONE
Leto [7]

Answer:

1.D

2.c

Step-by-step explanation:

f(m/4)=8(m²/16)-4(m/4)

=m²/2-m

f(-4)=-3(-4)²+5(-4)

=-3(16)-20

=-48-20

=-68

3 0
3 years ago
Read 2 more answers
Eric has $25 to purchase magazines and to pay for his lunch. Each
faust18 [17]

Answer:

B

Step-by-step explanation:

The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.

The appropriate inequality sign would be less than since he cannot spend more than $25.

Also, the amount he can spend on magazines would be what is left after paying for lunch.

So the correct inequality is 4m - 15 < 25

8 0
3 years ago
Help on both please ! Im a new student at this school and didn't learn this
larisa86 [58]
For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3


Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check
5 0
3 years ago
Someone please help
AleksandrR [38]

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

6 0
2 years ago
Please help due tonight !
faust18 [17]
The equation: 6r-3=45
6r=48
Answer: r=8
5 0
3 years ago
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