Kate needs 3 pieces of ribbon. she needs 2 pieces that are each 8.5 inches long and another piece that is 7.75 inches long. she has a piece of ribbon that is 24 inches long and she wants to know if it will be enough.

which statements are true?
choose all answers that are correct.

a.
kate estimates the total length by adding 9 + 9 + 8. she does not have enough ribbon.

b.
kate calculates exactly how much ribbon she will need. she knows if she has enough ribbon.

c.
kate estimates the total length by adding 8 + 8 + 7, which is less than 24. she has enough ribbon.

13875138answer:

step-by-step explanation:

use a calculator!

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