The answer would be 17 if your concerned.
Answer:
Step-by-step explanation:
Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.
We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.
Completing the square will put the quadratic in the desired form. Note that:
(x-h)^2=x^2-2hx+h^2
Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.
x^2-8x+16 + (16-4) = (x-4)^2 + 12
Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.
Answer:
x= 6/5y+6/5
x= 2/3y+6
Step-by-step explanation:
3x-18=2y
Step 1: Add 18 to both sides.
3x−18+18=2y+18
3x=2y+18
Step 2: Divide both sides by 3.
3x/3= 2y+18/3
x= 2/3y+6
#2
5x−6y=6
Step 1: Add 6y to both sides.
5x−6y+6y=6+6y
5x=6y+6
Step 2: Divide both sides by 5.
5x/5= 6y+6/5
x= 6/5y+6/5
Answer:
1570
Step-by-step explanation:
the formula for surface area of a cylinder is:
A= 2πrh + 2πr²
π aka pi = 3.14
r = 10
h = 15
so now plug in the numbers
A = 2(3.14)(10)(15) + 2(3.14)(10²)
A = 942 + 2(3.14)(100)
A = 942 + 628
A = 1570
The foot of the ladder is
10
feet away from the base of the wall. [Ans]
