The answer is $.085. This is the cost of the gasoline per mile. I got the answer through adding all the expenses (insurance, registration, and maintenance) which added up to $1191 and then subtracting it from $1837, which gets me $646. Lastly, I computed for the cost of gasoline per mile through dividing $646 by 7600 miles. I got .085.
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 easiest way to do the fractions is is you turn them to decimals.
43. >
44. >
You think it might be the othe way around, but it’s a negative. So if it’s -36 and -35, the -35 will be bigger. Think about the number line. -36 comes before -35.
Answer: x=-35/10
y=-4
Step-by-step explanation:
y = 3/2x +5/4
-2x+8y=-25
--------------------
replace y in second equation with: y = 3/2x +5/4
-2x+8(3/2x+5/4)= -25
-2x+12x+10= -25
10x=-35
x=-35/10
x=-3.5
7+8y= -25
8y=-32
y=-4
