Ashley, paula, rachel, sam, shelly and zen are sitting in a row. schelly and zen are in the center. ashley and pula are at the ends. rachel is sitting to the left of ashley.

who is sitting at the right of paula?
a. rachel
b. ashley
c. schelly
d. sam

who is sitting with shelly?

witch among the following sentences is formed with least number of vowels?

a. always be courageous.
b. fortune favours the bold.
c. honesty is the best policy.
d. make this your time to improve.

pipes a and b can fill a tank in 10 hours and 15 respectively. if both of them are opened together, in how much time can they fill it?

a. 5 hrs
b. 6 hrs
c. 2 hrs
d. 1 hrs

if mat’s share is 20% less then kate’s. how much is kate’s share more than mat’s?

a. 25%
b. 50%
c. 20%
d. 33.33%

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1