Which statement accurately describes the vector shown? magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 50°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 50°

The magnitude is definitely sqrt 61

Step-by-step explanation:

I am unsure how to mathematically solve for the direction angle but my educated guess would be C magnitude of sqrt 61 and direction angle equal to approximately 40° because the vector is below halfway of the 90 degree angle.

C magnitude of sqrt 61 and direction angle equal to approximately 40°

no this is a nonlinear negative

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