Parabola equation with a vertex at (h, k) is given by y = a(x - h)^2 + k
For the give parabola, y = a(x - 4)^2 - 3
y = a(x^2 - 8x + 16) - 3
At (5, -6)
-6 = a((5)^2 - 8(5) + 16) - 3 = a(25 - 40 + 16) - 3 = a - 3
a = -6 + 3 = -3
Therefore, the coefficient of the squared expression is -3.
Answer:
16
Step-by-step explanation:
divide 4 by .25 (or 1/4) and you get 16
Answer:
53 hotdogs
Step-by-step explanation:
1.50 x 64 = 96
202 - 96 = 106
106 ÷ 2 = 53
By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...
h^2=x^2+y^2
We are told that y=x+20 and h=24 so
x^2+(x+20)^2=24^2
x^2+x^2+40x+400=576
2x^2+40x+400=576
2x^2+40x=176
x^2+20x=88
x^2+20x+100=188
(x+10)^2=188
x+10=±√188
x=-10±√188, x>0 so
x=-10+√188 ft
y=10+√188 ft
If you want approximations...
x≈3.71 ft
y≈23.71 ft
1. Is two minutes because you can see that the rate stays the same until that point.
2. 10 cm because that’s what it shows on the side
3. 30 cm as that’s where the water stops rising
4. 3 minutes
5, 25 cm because that’s where the water stops
6. 2 minutes
Hope this helps!
