This is so hard to do

3rd choice

Step-by-step explanation:

For this problem you are asked to find the length, or how long the segment XY is. Because you're trying to find how long the segment is, you use the distance formula (the pic)

the values you need to fill in x and y are the coordinates x(-4,0) and y(3,2).

Normally, to determine which numbers go where, you put the highest v-value out of the two coordinates into x2 (in this case, 3) and the other value into x1 (-4) and depending on which number you took from the ordered pair you used for x2, you use the y-value from the same pair for y2 (2) and y1 would be the other y-value (0)

** you don't have to put the bigger number in x2 or y2 first, but it's easier to subtract of you do

Then plug in all your values and solve completely:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

d = \sqrt{(3 - (-4)^2 + (2-0)^2}

d = \sqrt{(7)^2 + (2)^2}

** subtracting a neg. from a positive is the same as adding

d = \sqrt{(49 + 4}

d = \sqrt{53}

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is b