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:
70
Step-by-step explanation:
Answer:
The first graph.
Step-by-step explanation:
The graph of the function y = 2x + 7, is a straight line because it is a linear function, and has y-intercept of 7 and a slope of 3; so we are looking for a graph that has these characteristics.
From the 4 graphs, we see that the 1st graph has a slope of 3 and a y intercept of 7, and thus it is the correct answer.
Answer:
BD = 28
Step-by-step explanation:
BC and CD are within line BD, so add those to make up for the length of BD
21 + 7 = 28
