What is the slope of a line parallel to the following line: 5x + 8y = 50

-5/8

Step-by-step explanation:

Convert standard form to slope-intercept form to find the slope.

5x + 8y = 50

8y = -5x + 50

y = -5/8x + 50/8

Slope: -5/8

-5/8x

Step-by-step explanation:

First you need to find the slope of the given line.

Do this by converting it to slope intercept form (y=mx+b)

Divide the whole equation by 8 to isolate the y variable.

After dividing by 8 you should now have 5/8x + y = 6.25

Now you need to subtract y and 6.25 to isolate y

5/8x - 6.25 = -y

Now you have to divide the whole equation by negative 1 to make y positive. You end up with: y = -5/8 + 6.25

We know that the slopes of parallel lines are equal. Therefore the answer is -5/8x

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)

54.864 meters

step-by-step explanation: