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Korolek [52]
2 years ago
14

Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form. Please he

lp
Mathematics
1 answer:
makkiz [27]2 years ago
7 0

Answer:

<h2>          3x + 5y = 12   </h2>

Step-by-step explanation:

3x + 5y = 7         {subtract 3x from both sides}

5y = -3x + 7        {divide both sides by 5}

y = -³/₅x + ⁷/₅        ←  slope-intercept form

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = -³/₅x + ⁷/₅     ⇒   m₁ = -³/₅    ⇒    m₂ = -³/₅

(-1, 3)  ⇒  x₁ = -1,  y₁ = 3

The point-slope form:

y - 3 = -³/₅(x - (-1))

y - 3 = -³/₅(x + 1)           {myltiply both sides by 5}

5y - 15 = -3x - 3           {add 3x to both sides}

3x + 5y - 15 = - 3        {add 15 to both sides}

<u>3x + 5y = 12</u>

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How do you solve ? <br>2(x−(3+2x)+9)=3x−8
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Hey there!!

Given equation :

... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8

Using the distributive property.

... 2 ( x - 3 - 2x + 9 ) = 3x - 8

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Using the distributive property.

... -2x + 12 = 3x - 8

Subtracting 12 on both sides.

... -2x = 3x - 8 - 12

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Subtracting 3x on both sides.

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3 years ago
Simplify expression -6x^2+4-x^2+15x
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4 0
3 years ago
HELP PLZ!!! LOTS OF POINTS
Darya [45]

I'm going to assume that the ' 7.51 ' is the angle expressed in radians.
So this is just like any other unit conversion exercise.

You know that                  180 degrees = pi radians.

Divide each side by pi radians, and you have

                      180 degrees / pi radians = 1 .

Great !  Now take the angle you have ... 7.51 radians ...
and multiply it by ' 1 '.

      (7.51 radians) x (180 degrees / pi radians) =

<em>                              </em> (7.51 x 180 / pi) degrees =<em>  430.29 degrees</em>


As you ( I ) worked through this problem, a very useful number
fell out . . .  It's  180/pi  =  57.296 ,  or just  <em>57.3</em>  is close enough.

Here's how you can use that number:

-- 1 radian  =  <u>57.3</u>  degrees

-- 1 degree  =  1/57.3  of a radian

-- Got some radians ?  Multiply by  <u>57.3</u>  to get degrees.

-- Got some degrees ?  Divide by  <u>57.3</u>  to get radians.


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