Which situation results in a change that could be modeled by a negative number?
a change in elevation from 492 feet to 783 feet
a change in elevation from –12 feet to 123 feet
a change in elevation from sea level to 87 feet
a change in elevation from 632 feet to 312 feet

a change in elevation from 632 feet to 312 feet

Last option

Step-by-step explanation:

When change is modeled by a negative number, there must be a decrease from the first value to the second value.

The second elevation must be less than the first.

In your options - first to second values:

492 => 783       Increased      492 < 783

-12 => 123          Increased      -12 < 123

0 => 87              Increased       0 < 87

632 => 312        Decreased      632 > 312

Sea level is "0" because it's where you start measuring elevation.

Which situation results in a change that could be modeled by a negative number?

a change in elevation from 492 feet to 783 feet

a change in elevation from –12 feet to 123 feet

a change in elevation from sea level to 87 feet

a change in elevation from 632 feet to 312 feet

Step-by-step explanation:

a change in elevation from 632 feet to 312 feet

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

1

step-by-step explanation:

it's the only multiple of both and the least