9514 1404 393
Answer:
(-2, 2)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.
Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...
x = -2
__
Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...
y -(-1) +(1)(x -(-5))
y = x +4 . . . . . . . . subtract 1 and simplify
The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...
y = (-2) +4 = 2
The orthocenter is (x, y) = (-2, 2).
Answer:
The expression will be simplified into 
Step-by-step explanation:
It's like addition, when you multiply exponents that are on the same bases as each other.
For the ODE

multiply both sides by <em>t</em> so that the left side can be condensed into the derivative of a product:


Integrate both sides with respect to <em>t</em> :

Divide both sides by
to solve for <em>y</em> :

Now use the initial condition to solve for <em>C</em> :



So the particular solution to the IVP is

or

10000000+2000000+400000+30000
She is four years old which makes her father 40 that's ten times her age in five years she'll be 9 and he will be 45 which is 5 times her age. hope that helped you out.