Using 1 3-foot by 8 foot piece of sheet metal, an installer makes four 6 inch circular ducts. each duct is 3 feet long. how many ducts can be made from 26 sheets of metal

104

Step-by-step explanation:

Given: Using one 3-foot by 8 foot piece of sheet metal, an installer makes four 6 inch circular ducts.

Thus, the number of ducts made by 1 sheet= 4

By using direct proportion, the number of ducts made by 26 sheets is 26 times the number of ducts made by 1 sheet.

The number of ducts made by 26 sheets =

Hence, the number of ducts made by 26 sheets = 104

answer: c i think

step-by-step explanation:

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