Sounds as tho' all three lines are parallel. Is that correct?
If so, all three lines have the same slope!
What is the slope of <span>5y=2x-20 ? Solving for y, y = (2/5)x - 4
</span>
The slope is (2/5).
Now find the equation of the line with slope (2/5) that passes thru (10,-8).
It is y - [-8] = (2/5)(x - 10).
We can simplify this, with the result y + 8 = (2/5)x - 4. This, in turn, can be simplified to y + 8 = 2x/5 - 4, or y = 2x/5 - 12. Mult. all terms by 5 to eliminate the fraction:
5y = 2x - 60
Note how this has the exact same form as the given 5y = 2x - 20, EXCEPT that the constant at the end is different.
5y = 2x - 60 and 5y = 2x - 20 are parallel lines with the same slope but different y-intercepts.
Differentiate implicitly using the power rule:
<span>12x^2 + 15y^2y' = 0 </span>
<span>Make y' the subject: </span>
<span>15y^2y' = -12x^2 </span>
<span>y' = -(4x^2) / 3y^2 </span>
<span>Differentiate again using the quotient rule: </span>
<span>y'' = [-8x(3y^2) - 6yy'(-4x^2)] / 9y^4 </span>
<span>y'' = (-24xy^2 + 24x^2yy') / 9y^4 </span>
<span>Simplify: </span>
<span>y'' = (-8xy + 8x^2y') / 3y^3 </span>
<span>Substitute (4x^2) / 3y^2 back for y': </span>
<span>y'' = (-8xy + 8x^2 * 4x^2 / 3y^2) / 3y^3 </span>
<span>y'' = (-24xy^3 + 32x^4) / 9y^5</span>
Step-by-step explanation:
I hope it helps man this much .
Answer:
6785 dollars
Step-by-step explanation:
It cost 5980 dollars for a rectangular lot that is 110 ft by 150 ft. 110 + 150 = 260. 5980/260=23. 125 + 170= 295. 295 x 23= 6785.
-2(2x-5)+5x+6 Original problem - first we distribute
-4x+10+5x+6 Next we combine like terms
1x+16 Here is your answer :) (x+16 is considered the same answer)
x-5(y+2)+(3y-x) Again we distribute
x-5y-10+3y-x Again we combine like terms
-2y-10 Here is your answer :)