Amodel rocket was built using a scale factor of 1: 15 if the height of the actual rocket is 9.9m, what is the height of the millimeters

660 mm

Step-by-step explanation:

we know that

The scale factor is

That means

1 unit in the model represent 15 units in the actual

or

1 m in the model represent 15 m in the actual

To find out the height of the model rocket, divide the height of the actual rocket by 15

so

Convert m to mm

Remember that

To convert meters to millimeters, multiply by 1,000

so

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