(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k
nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix
I will only convert the 1st one fully, you should be able to do the rest
1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
(-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)
k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5
basically completee the square with x and find P by force factoring a 4 out
2. directix: y=-1.75
3. directix: y=1.5
4. directix: y=17.25
5. d: -37.5
6. d: 9.25
7. d=2.625
order them yourself
Answer:
27 years
Step-by-step explanation:
P is measured in thosands therefore, P will have a value of 120
so it would be...
120=80e^0.015t
80e^0.015t=120
e^0.015t=120/80=3/2=1.5
e^0.015t=1.5
0.015t= In(1.5)
t=In(1.5)/0.015
∴ t≈27.03 round it to 27 years
It would be greatly appreciated if you gave me the brainlest
Answer:
d
Step-by-step explanation:
because in 2 they make 600 and 600 times 3 is 1,800 then do 2 times 3 witch is 6 so 6 hours after 10:30 is 3:30. I hope that makes sense <3
Answer:
12/13
Step-by-step explanation:
Given that MN = 5, NO = 12, and MO = 13, find cos O.
Since the reference angle is P, hence;
MN is the opposite = 5
MO is the hypotenuse = 13 (longest side)
NO is the adjacent = 12
Cos O = adj/hyp
Substitute the given values
Cos O = 12/13
Hence the value of Cos O is 12/13
Answer: 5 times 5 plus 11 plus 11
Step-by-step explanation:
Creating an algebra problem that equals to 47.
5 times 5 is 25
25 plus 11 is 36
36 plus 11 is 47
