Answer:
c=5
Step-by-step explanation:
Sorry I did a problem just like this on my paper so im just gonna copy my work
Simplifying
2x + -5 = 2x + -1c
Reorder the terms:
-5 + 2x = 2x + -1c
Reorder the terms:
-5 + 2x = -1c + 2x
Add '-2x' to each side of the equation.
-5 + 2x + -2x = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 + 0 = -1c + 2x + -2x
-5 = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 = -1c + 0
-5 = -1c
Solving
-5 = -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-5 + c = -1c + c
Combine like terms: -1c + c = 0
-5 + c = 0
Add '5' to each side of the equation.
-5 + 5 + c = 0 + 5
Combine like terms: -5 + 5 = 0
0 + c = 0 + 5
c = 0 + 5
Combine like terms: 0 + 5 = 5
c = 5
Simplifying
c = 5
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>
The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:
Thus, the distance between points (3,2) and (2,0) is:
Answer:
units
Is there supposed to be a picture?
