I want to say the answer is a or b mostly a though
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Since x term is squared, solve for form (x-h)^2=4p(y-k)
x term is squraed so it opens down or up
vertex is (h,k)
p is distance from vertex to focus and from vertex to directix
if p>0, then dirextix is below vertex
if p<0, directix is above vertex
complete the square
y=(-1/6x^2+7x)-80
y=(-1/6)(x^2-42x)-80
take 1/2 of linear coefient and squer it and add negative and positive inside
-42/2=-21, (-21)^2=441
y=(-1/6)(x^2-42+441-441)-80
factor perfect square the square
y=(-1/6)((x-21)^2-411)-80
expand
y=(-1/6)(x-21)^2+73.5-80
y=(-1/6)(x-21)^2-6.5
add 6.5 to both sid
y+6.5=(-1/6)(x-21)^2
times both sides by -6
-6(y+6.5)=(x-21)^2
(x-21)^2=-6(y+6.5)
(y-21)^2=4(-3/2)(y-(-6.5))
vertex is
-3/2<0 so directix is above
it is -3/2 or 1.5 units above the vertex
up is y so
-6.5+1.5=-5
the directix is y=-5
Answer: Rita has $25 saved.
Step-by-step explanation:
You could think about it this way: $69 is $6 less than 3 times the amount of money that she has. So, let's solve this:
1) First you would add $6 to the $69 that the skateboard costs because you need to know what her savings would be if she multiplied it by 3.
$69+$6=$75
2) Now that we know that if we tripled her savings, we would have $75. We can now find out how much she actually has saved up by dividing the total of $75 by 3.
$75÷3=$25
I hope this helped you with your question!
Answer:
3619.11 cubic inches
Step-by-step explanation:
volume of a cylinder is
diameter is 16 in, so radius (r) is 8 in
plug in values: cubic inches