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loris [4]
2 years ago
15

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (0, 8) and

(2, 0).
y = 4 x minus 1
y = negative 4 x + three
y = one-fourth x + 5
y = negative one-fourth x minus 1
Mathematics
1 answer:
dezoksy [38]2 years ago
5 0

Answer:

  • B) y = negative 4 x + three

Step-by-step explanation:

<u>Find the slope of the line that goes through (0, 8) and (2, 0):</u>

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (0 - 8) / (2 - 0) = -8/2 = -4

Parallel lines have equal slopes.

<u>Looking at the choices we see only one of them has the slope of  -4:</u>

  • y = -4x + 3
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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
2 years ago
Help please please help ASAP * please don’t answer if you don’t know
Julli [10]

Answer:

Your answer is x = 24 , y =8√3

Step-by-step explanation:

Sorry for late answer actually I was preparing for my exams. ❤

3 0
3 years ago
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