What is the slope of the line 3x – 9y = 4? –3 –negative StartFraction one-third EndFraction StartFraction one-third EndFraction 3

1/3

Step-by-step explanation:

3x – 9y = 4

We need to solve for y

Subtract 3x from each side

3x – 9y-3x = 4-3x

-9y = -3x+4

Divide each side by -9

-9y/-9 = -3x/-9 +4/-9

y = 1/3 x -4/9

This is in the form y = mx+b  where m is the slope and b is the y intercept

y =1/3x -4/9

The slope is 1/3

⅓

Step-by-step explanation:

3x - 9y = 4

9y = 3x - 4

y = (3/9)x - (4/9)

y = (1/3)x - 4/9

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

she will travel a distance in the range of 3 - 11 miles