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mestny [16]
2 years ago
14

What is the equation of the line passing through the point (-2,-1) and perpendicular to the line y = 1/2x+5?

Mathematics
1 answer:
uranmaximum [27]2 years ago
3 0

Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

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Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the
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Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be = 2x - 12

When Jim gets 12 books from Sam, his books will be = x + 12

And as per given question, they both now have equal books, so

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Adding 12 in both sides

2x - 12 + 12 = x + 12 + 12

2x = x + 24

Subtracting x from both sides

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It means Jim has number of books = 24

So, Sam has numberof books = 24 * 2 = 48

So, they have number of books together = 24 + 48 = 72 : Answer

Hope it will help :)


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