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lisabon 2012 [21]
3 years ago
5

Write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5​

Mathematics
2 answers:
Anni [7]3 years ago
5 0

Answer:

y =  -\frac{1}{2}x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = -\frac{5}{3} + 2x

The slope of a perpendicular line will be -\frac{1}{2}

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  -\frac{1}{2} x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  -\frac{1}{2}x + 12

padilas [110]3 years ago
3 0

Answer:

y =  -  \frac{ 5}{3} x + ( -  \frac{5}{3} )

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

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Sphinxa [80]

Answer:

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3 years ago
Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin
jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

<u>GIVEN :-</u>

There are 2 right-angled triangles.

In the triangle on the right side ,

  • Hypotenuse = 26m
  • Base = 10m

In the triangle on the left side ,

  • Base = 18m

<u>TO FIND :-</u>

  • Length of the common perpendicular to both triangles.
  • Length of the hypotenuse of the triangle on the left side.

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • Hypotenuse = \sqrt{Base^2 + Perpendicular^2}.
  • Perpendicular = \sqrt{Hypotenuse^2 - Base^2}

<u>SOLUTION :-</u>

In the triangle on the right side ,

Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m

∴ x = 30m

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3 years ago
This is 15 points plz help ( no links ) EXPLAIN YOUR ANSWER plz
levacccp [35]
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You will then need to multiply by two (or add 720+720) to get the answer 1440
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Sloan [31]

Answer:

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