Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
Solution-
First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I
Total number of ways of selection of 4 letters from 9 alphabets = 9C4
=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126
The number of ways of arranging these 4 numbers = 4! = 24
∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024
∴ option number 2 is correct.
Reduce the expression 184 by cancelling the common factors. Factor 2 2 out of 18 18 . Factor 2 2 out of 4 4 . Rewrite the expression.Answer:
Step-by-step explanation:
Answer:
18432 km/h
Step-by-step explanation:
It is given that a sound wave travels through iron at a rate of 5120 m/s.
We know that
1 km = 1000 m
1 hour = 60 minutes
1 minutes = 60 second
Using these conversions we get
1 m = 0.001 km
1 hour = 3600 second
Therefore, the sound wave travels through iron at a rate of 18432 km/h.
The pattern is multiply by 4. so the next number is 4096
