Aileen is decorating for the grand opening of the town's new courthouse. The entrance is marked by two stone columns that each stand 4.5 meters tall and a semicircular arch above the columns. She has a hung a 2-meter-long welcome banner between the two columns, and she wants to line the entrance with a garland. image

If the garland will cover the inside edge of the entrance, from the bottom of the columns to the top of the arch, how many meters of garland will Aileen need?

A.
10.57 meters

B.
12.14 meters

C.
15.28 meters

D.
11 meters

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

r and t.

both are 64 degrees.

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