Answer:
(g o f) (x) = 2x + 16
Step-by-step explanation:
" (g o f) (x) )" is called "the composition of f and g."
Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:
(g o f) (x) = 2(x+1) + 14, or
(g o f) (x) = 2x + 2 + 14, or
(g o f) (x) = 2x + 16
Answer:
the distance is 16
Step-by-step explanation:
Hi there!
We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points
the distance formula is given as
where (
,
) and (
,
) are points
we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion
=-4
=-13
=-4
=3
now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

simplify

now add the values inside the parenthesis that are under the radical

raise everything under the radical to the second power

add under the radical

now take the square root of 256
=16
so the distance between point A and point B is <u>16</u>
Hope this helps! :)
Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
Answer:
A
Step-by-step explanation: