Never because I had this question and saw it on khan
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:
They are equal. x= -24
Step-by-step explanation:
-2x - 7 ≥ 41
First you isolate the variable
-2x -7 ≥ 41
+7 +7
-2x≥48
then divide each side by -2
x≥-24
Then go back and plug in
-2(-24)-7=
48-7=41
Therefore
41=41
A. y-intercept
B. The slope is 3/4, the y-intercept is 0
C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.
Then, divide everything by 6, and the equation would look like: y = 2/6x + 2
Thus, the slope is 2/6x and 2 is the y-intercept.