Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.

(-3, 0), (3, -2)

6.3

Step-by-step explanation:

sqrt ((x2-x1)^2 + (y2-y1)^2)

sqrt ((3+3)^2 + (-2-0)^2)

sqrt (6^2 + -2^2)

sqrt(36 + 4)

sqrt (40)

6.324

6.3

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