275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000
Answer:
Step-by-step explanation:
For example, the atmosphere mixes down into the other spheres and releases precipitates; the hydrosphere overlaps onto land surfaces and water vapor rises up into the atmosphere; the biosphere reaches up into the atmosphere, down into soils and rock, and throughout the oceans, exchanging gases, water and nutrients
Answer:

The maximum number of pounds p is 224
Step-by-step explanation:
Let
p ----> the maximum number of pounds he can pull without going over the weight limit
we know that
121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds
In this problem the word "at most" means "less than or equal to"
so
The inequality that represent this situation is

solve for p
subtract 121 both sides


therefore
The maximum number of pounds is 224
The slope of the tangent line to the curve at (8, 2) is given by the derivative
at that point. By the chain rule,

Differentiate the given parametric equations with respect to
:


Then

We have
and
when
, so the slope at the given point is
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

Alternatively, we can eliminate the parameter and express
explicitly in terms of
:

Then the slope of the tangent line is

At
, the slope is again
, so the normal has slope +4, and so on.