Answer:
Volume of the cylinder is. 1017.36
Step-by-step explanation:
is the area of a cylinder.
Let's plug in our values.
-----
3.14 = pi
9 = radius
x = height
-----
V = (3.14)(9)^2(4)
V = (3.14)(81)(4)
V = (3.14)(324)
V = 1017.36
Formula is y = a(x-h)^2 + k
Where h is 1 and k is 1
f (x) = a(x-1)^2 + 1
-3 = a(0-1)^2 + 1
-3 = a(-1)^2 + 1
-3 = a(1) + 1
-3 - 1 = a
-4 = a
a = -4
A must be equal to -4
y = -4(x-1)^2 + 1
0 = -4(x-1)^2 + 1
4(x^2 - 2x + 1) - 1 = 0
4x^2 - 8x + 4 - 1 = 0
4x^2 - 8x + 3 = 0
4x^2 - 8x = -3
Divide fpr 4 each term of the equation....x^2 - 2x = -3/4
We must factor the perfect square ax^2 + bx + c which we don't have. We must follow the rule (b/2)^2 where b is -2....(-2/2)^2 =
(-1)^2 = 1 and we add up that to both sides
x^2 - 2x + 1 = -3/4 + 1
x^2 - 2x + 1 = 1/4
(x-1)^2 = 1/4
square root both sides x-1 = (+/-) 1/2
x1 = +1/2 + 1 = 3/2
x2 = -1/2 + 1 = 1/2
x-intercepts are 1/2 and 3/2, in form (3/2,0); (1/2,0)
The value of x is 84 degrees
Answer:
b = 2a - 2
Step-by-step explanation:
Turn the words into an algebraic expressions. so Andrea's (b) is (=) two years less (-2) than (flips the expression so place this first ->) twice (times 2) her age (a) So b = 2a -2
Answer:
This is a translation of the function √x up 2. There is no shifting to the right or the left, so C is the right answer.
Step-by-step explanation:
