Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex
therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6
A is ansre
The answer is six and two out of seven or 6 and two sevenths
It is given in the question that
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.
Total distance is 625 meters and total time taken is

Average speed is


Answer:

Step-by-step explanation:
Total possibilities when we a roll a die at a time are 6
given we should have four for first time and then three
let us assume we rolled the dice we may get 1,2,3,4,5,6(any of these) the probability to get 4 is
PROBABILITY=
Favourable chances=1
Total chances=6
Probability=
the prabability to get 4 in first roll is
.
let us assume we rolled the dice for second time again we may get 1,2,3,4,5,6(any of these) the probability to get 3 is
Favourable chances=1
total chances=6
probability=
the probability to get 3 in second roll irrespective of first one is 
the probability to get 4 in first time and then 3 is
The probability to occur both events at a time is multiplication of individual probabilities
So,
probablility to get 4 in first roll=
probability to get 3 in second roll=
probability to occur both at a same time is =

=
Answer:
the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.
Step-by-step explanation:
Note that the formula for the area of a triangle is A = (1/2)(base)(height). Let's abbreviate that to A = (1/2)(b)(h). We are told that h = b + 8.
Then A = 136.5 = (1/2)(b)(b + 8), or
(after multiplying both sides by 2)
A = 273 = b^2 + 8b
which, when put into standard quadratic form, becomes:
b^2 + 8b - 273 = 0
The coefficients of this quadratic are a = 1, b = 8 and c = -273.
Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.
The roots are then
-8 ± √1156 -8 ± 17
x = -------------------- = ------------ = 9/2 and -25/2
2 2
Only the root 9/2 makes sense here, because measurements of length are positive.
Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.