Square QRST is similar to Square KLMN. The ratio of the length of side QR to the length of side KL is 3:2. If side ST=9 cm, what is the length of side LM?

LM = 6 cm

Step-by-step explanation:

A square has all the sides equal in length. The opposite sides of a square is parallel to each other  and all the angles are equal to 90°.

Therefore , the square QRST has all it sides equal in length. Likewise the square KLMN .

The ratio of side QR to the length side KL is 3:2 . If the side ST = 9 cm , The length of side LM can be gotten below.

ST =  9 cm since QRST is a square all the other sides are 9 cm . The length of KLMN is equal for all sides too. The ratio for any sides of square QRST to  any sides of square KLMN is  the same through out.

Therefore,

3/2 = 9/LM

cross multiply

3LM = 18

divide both sides by 3

LM = 18/3

LM = 6 cm

answer: i believe c. is the answer sorry if i am wrong

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