Mandy works construction. she knows that a 5 meter long metal bar has a mass of 40 kg. mandy wants to figure out the mass (w) of a bar made out of the same metal that is just 3 meters long and the same thickness. which proportion could mandy use to model out this situation? a: 40/3=w/5 b: 5/3=40/w solve the proportion to determine the mass of the shorter bar.

B)

The mass of shorter bar = 24 kg

Step-by-step explanation:

We assume that the mass of the metal bar is directly proportional to its length.

We know that the equation to shows direct variation between two quantities is given by :-

Given : Mandy works construction. She knows that a 5 meter long metal bar has a mass of 40 kg.

Mandy wants to figure out the mass (w) of a bar made out of the same metal that is just 3 meters long and the same thickness.

For the given situation the direct variation equation will be :-

It can also be written as :

When we solve this , we get

Hence, the mass of shorter bar = 24 kg

step-by-step explanation:

ask goog great chance of finding the solution there

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