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>
There are 10,254 toy trucks
and 10,254 * 3 = 30,762 toy cars.
In total, there are 10,254+30,762= 41,016 toys
when we divide 41,016 by 35, the quotient is the number of the full boxes, and the remainder is the number of toys left.
41,016=35*1171+31
Answer: 1171 full boxes, 31 toys left for the last box
Answer: 1:8
Step-by-step explanation:
First you add all of the candies together (so 18) then you see how many there are grape flavored (2), put them in a ratio (2:18) and simplify (1:8)
hope this helps :)
3:7 =
3/7
3/7 = x/35
7x = 105
x = 15
answer : clara borrowed 15 books
Pi symbol raised to the 3 times x raised to the 4
