Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5
Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
Answer:
mixed fraction= 4 6/35 . exact form= 146/35
Step-by-step explanation:
Answer:
Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.
The formula for circumference is C = 2 x pi x r.
So input 9 for C and solve. 9 = 2 x pi x r.
You will get that r is equal to about 1.43 in.
Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2
You will get a surface area equal to about 25.7 in^2.
Now multiply that number by the number of baseballs you need to cover, 100.
I'll let you do that step by yourself since it's simple algebra and you're smart enough to figure it out ;)
This is easy, if adding the first number to the second number you get 70.2 then if you want to find the middle number you will have to subtract 32.34 from 70.2 to get 37.86, now add that and 32.34 to check if it gives you 70.2.... When you add them you indeed get 70.2 so your work is correct meaning your middle number is 37.86
Hope this helped
Answer:
base=6
Step-by-step explanation:
