PLZ help me with this???

Please read the explanation.

Step-by-step explanation:

I'm going to do this in two ways, the way the example states and the better way.

-18 3/4

-12 1/2

You can do -18 3/4 - (-12 1/2) = -18 3/4 + 12 2/ 4 = -6 1/4. That is the difference in elevation, yes, if you start at the top of the trail and negatives mean you going down.

BUUUTTT, we really have to use absolute value here

Absolute value is basically the amount something is away from 0, or in simpler terms, no negatives exist, all negatives are now positives.

you do |-18 3/4| - |-12 1/2| = 18 3/4 - 12 1/2 = 18 3/4 - 12 2/4 = 6 1/4. I would trust this answer more because I don't exactly understand the example as much

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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