Answer:
a = 2
Step-by-step explanation:
Multiply equation by 2a to get rid of denominators.
10 + a = 12
a = 2
Answer:
Altitude
Step-by-step explanation:
An altitude of the triangle is the line segment from a vertex to the opposite side and perpendicular to the opposite side. The orthocenter will not always be inside the triangle. This is why the orthocenter is the point of concurrency of the lines containing the altitudes rather than just the altitudes.
Answer:
94 cubic units
Step-by-step explanation:
The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product 
Since

we have

Answer:
g(n) = - 19 + (n - 1)*6
Step-by-step explanation:
The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.
g(1) = - 19
=============
g(2) = g(2 - 1) + 6
g(2) = g(1) + 6
g(2) = -19 + 6
g(2) = -13
=============
g(3) = g(2) + 6
g(3) = -13 + 6
g(3) = - 7
==========
g(4) = g(3) + 6
g(4) = - 7 + 6
g(4) = - 1
==========
g(5) = 5
g(6) =11
===========
Now the hard part. You have to start with - 19
The nth term is g(n) = - 19 + (n - 1)*6
Now see if it works.
g(7) = - 19 + (7 - 1)*6
g(7) = - 19 + 6 * 6
g(7) = -19 + 36
g(7) = 17
Is that correct?
g(7) = g(n - 1) + 6
g(7) = g(6) + 6
g(7) = 11 + 6
g(7) = 17 Seems to be the same as the explicit formula gives.
Let's say you are given the equation 4(x+5). What you must do is distribute the 4 to everything inside the parenthesis. What this means is that you multiply everything inside the parenthesis by the number outside the parenthesis (in this equation that would be 4). For example, the equation 4(x+5) would distribute as (4*x)+(4*5). This would then become 4x+20.