I hope this helps you
right angle 90
5/4.90
450/4
112,5
Formula of the parabola: (x - h)²<span> = 4p(y - k)
(h,k) is a vertex, </span>(1,-9) is a vertex.
<span>h=1, k= - 9
Substitute h and k into formula </span>(x - h)² = 4p(y - k)
(x - 1)² = 4p(y + 9)
Substitute x and y of the y-intercept
(x - 1)² = 4p(y + 9), x=0,y=-6.
(0 - 1)² = 4p(-6 + 9)
1 = 4p*3
1/3 = 4p, substitute value of 4p into (x - 1)² = 4p(y + 9).
(x - 1)² = 1/3(y + 9)
x²-2x+1=(1/3)y + 3
(1/3)y = x²-2x-2
y = 3x² - 6x -6
x-intercepts, is values of x when y=0.
3x² - 6x -6 = 0
x²-2x-2=0
We will find values of x using formula.
Your answer is 100ft. This is because to find the radius when you already know the diameter you have to divide the diameter by 2.
Answer:
4.43 inches
Step-by-step explanation:
The volume of the hot tub is
V = l*w*h
We are given the volume in gallons which we need to convert to cubic inches
1 gallon = 231 in^3
350 gallons *231 in ^3/1 gallon = 80850 in ^3
Substituting in what we know, we can find the height of the tub
80850 = 76*60 *h
17.76026316 is the height of the tub
If the tub is 1/4 full
We take 1/4 of the height
1/4 * 17.76 = 4.432565789
The approximate height of the water is 4.43 inches
the apple tree is 20 and the oak tree is 40
hopes this helps,
Xeno