In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
Answer:
h(4z)=4+12z / 5+4z
Step-by-step explanation:
The function h is defined by h(x)=4+3x over 5+x
This can be written as
h(x)=4+3x / 5+x
The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.
To find h(4z), it means that x is taking the value of 4z.
We will substitute 4z in the place of x in the function. This becomes
h(4z)=4+3×4z / 5+4z
h(4z)=4+12z / 5+4z
The equation of the graph of 
is (d) on a coordinate plane, an absolute value graph starts at (0, 0) and goes up through (4, 2).
The equation of the graph is represented as:
See attachment for the graph of
From the attached graph, the curve passes through points (0,0) and (4,2).
Hence, the equation of the graph of is (d)
Read more about graphs and functions at:
brainly.com/question/3939432
