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>
Answer:
16v+4
Step-by-step explanation:
2(8v+2) = 16v+4
Answer:
13.0 units
Step-by-step explanation:
To find the distance between two points, we use the formula
d = sqrt( (y2-y1)^2+ (x2-x1)^2)
sqrt((-3--10)^2 + (-12--1)^2)
sqrt( (-3+10)^2 + (-12+1)^2)
sqrt( (7^2 + (-11)^2)
sqrt( 49+121)
sqrt( 170)
13.038
Rounding to the nearest tenth
13.0
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