Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton ispushing the boulder with a force of 110 newtons at an angle of 55° with respect to the positivex-axis. Tanner is pulling the boulder with a force of 165 newtons at an angle of 42° with respectto the positive x-axis. Find the magnitude and direction (with respect to the positive x-axis) of theresultant force.

Wow, i wonder why they were lifting a large boulder? They should put it down they could get hurt!!

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

the 3rd on is correct

step-by-step explanation: