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3 years ago

What is the equation ?

Mathematics

1 answer:

Alexandra [31]3 years ago

4 0

Answer:

Graph the plotted points!

Step-by-step explanation:

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Help asap! pls pls i will mark brailiest

dlinn [17]

It’s the 2nd one

Sisjsjjd

8 0

3 years ago

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Find the equation of the lines parallel and perpendicular to the line 5x+2y=12 through the point (-2,3)

muminat

Answer:

The equation of line parallel to given line and passing through points ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Step-by-step explanation:

Given equation of line as :

5 x + 2 y = 12

or, 2 y = - 5 x + 12

or , y = $\frac{-5}{2}$ x + $\frac{12}{2}$

Or, y = $\frac{-5}{2}$ x + 6

∵ Standard equation of line is give as

y = m x + c

Where m is the slope of line and c is the y-intercept

Now, comparing given line equation with standard eq

So, The slope of the given line = m = $\frac{-5}{2}$

Again,

The other line if passing through the points (- 2 , 3 ) And is parallel to given line

So, for parallel lines condition , the slope of both lines are equal

Let The slope of other line = M

So, M = m = $\frac{-5}{2}$

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M x + c

Now , satisfying the points

So, 3 = $\frac{-5}{2}$ × ( - 2 ) + c

or, 3 = $\frac{10}{2}$ + c

Or, 3 = 5 + c

∴ c = 3 - 5 = - 2

c = - 2

So, The equation of line with slope $\frac{-5}{2}$ and passing through points ( -2 , 3)

y = $\frac{-5}{2}$ x - 2

or, 2 y = - 5 x - 4

I.e 5 x + 2 y + 4 = 0

<u>Similarly</u>

The other line if passing through the points (- 2 , 3 ) And is perpendicular to given line

So, for perpendicular lines condition,the products of slope of both lines = - 1

Let The slope of other line = M'

So, M' × m = - 1

Or, M' × $\frac{-5}{2}$ = - 1

Or, M' = $\frac{-1}{\frac{-5}{2}}$

Or, M' = $\frac{2}{5}$

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M' x + c'

Now , satisfying the points

So, 3 = $\frac{2}{5}$ × ( - 2 ) + c'

or, 3 = $\frac{- 4}{5}$ + c'

Or, 3 × 5 = - 4 + 5× c'

∴ 5 c' = 15 + 4

or, 5 c' = 19

Or, c' = $\frac{19}{5}$

So, The equation of line with slope $\frac{2}{5}$ and passing through points ( -2 , 3)

y = $\frac{2}{5}$ x + $\frac{19}{5}$

y = $\frac{2 x + 19}{5}$

Or, 5 y = 2 x + 19

Or, 2 x - 5 y + 19 = 0

Hence The equation of line parallel to given line and passing through points ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

And The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Answer

4 0

3 years ago

PLEASE HELP

Alja [10]

Answer:

(-∞ , -1) ∪ (4 , ∞)

Step-by-step explanation:

-1 > 3x + 2 or 3x + 2 > 14

-1> 3x + 2 or 3x + 2 > 14

-1 - 2 > 3x or 3x > 14 - 2

-3 > 3x or 3x > 12

-1 > x or x > 4

(-∞ , -1) ∪ (4 , ∞)

Hope it helps :)

Please mark my answer as the brainliest

8 0

1 year ago

A tank currently holds 5 gallons of water, it being filled at the rate of 1/4 gallon per minute. How long will it take for the t

Blababa [14]

Answer:

it will take 16 minutes

Step-by-step explanation:

Its already filled 5 gallons. if it's 1/4 per minute, then in 4 minutes 1 gallon will be filled. that means in 16 minutes it will be filled 9 gallons because 4 minutes x 4 is 16 minutes and 1 gallon times 4 is 4 gallons and 4 gallons + 5 gallons is 9 gallons ur welcome

4 0

4 years ago

205/2 Setup I know the answer is 102

Nonamiya [84]

Answer:

Its 102.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers