Answer:
BC=√7
Step-by-step explanation:
AC=4
AC=AH+HC
=3HC+HC
=4HC
HC=1/4AC=1/4×4=1
AH=3HC=3×1=3
BH⊥ AC
AB=AC=4

Answer:
g (f (-3)) = -9
Step-by-step explanation:
Given:
Graphs of f(x) and g(x) are given
From the given graphs:
Finding g ( f (-3) ):
-----> g ( f (-3) )
-----> g(5)
-----> -9
so,
g ( f (-3) ) = -9
You would have to make them all one form that is the same, for example if you wanted to find out if 80%, 0.75, 1/2 are the same you would have to change them into the same form. If you wanted to make them all decimals it would be 0.08, 0.75, 0.5, if you wanted to make them all percents it would be 80%, 75%, 50%, you wanted them all of be a fraction it would be 4/5, 3/4, and 1/2. I hope explained this well and this helped :)
-Madi
Answer:
C. postulate; theorem
Step-by-step explanation:
While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.
The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.
h(x) = 3 * (2)^x
Section A is from x = 1 to x = 2
h(1) = 3 * (2)^1 = 3 * 2 = 6
h(2) = 3 * (2)^2 = 3 * 4 = 12
so
the average rate of change = (12 - 6)/(2 - 1) = 6
Section B is from x = 3 to x = 4
h(3) = 3 * (2)^3 = 3 * 8 = 24
h(4) = 3 * (2)^4 = 3 * 16 = 48
so
the average rate of change = (48 - 24)/(4 - 3) = 24
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
the average rate of change of section B is 24 and the average rate of change of section A is 6
So 24/6 = 4
The average rate of change of Section B is 4 times greater than the average rate of change of Section A
It's exponential function, not a linear function; so the rate of change is increasing.