Charlie likes to hike in the forest behind his house. He usually goes to the same areas in the forest, and he has decided to graph those areas on a coordinate plane. He marks the hollow stump at (−6,−4), the creek at (−6,1), and the climbing tree at (5,−4). What is the distance between the hollow stump and the creek?

3 studs away

Step-by-step explanation:

If you graph the labels on the graph, you will count how far they are from eachother which is 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