Answer:
The graph of g is the graph of f shifted down 1 unit.
Step-by-step explanation:
Suppose you have a function y = f(x), you can do these following operations on the function:
Shift up a units: y = f(x) + a
Shift down a units: y = f(x) - a
Shift left a units: y = f(x + a)
Shift right a units: y = f(x - a)
In this problem, we have that:
g(x) = -1 + f(x) = f(x) - 1
So the graph of g is the graph of f shifted down 1 unit.
Answer:
Step-by-step explanation:
-0.25
-1/3
1/4
0.3
Answer:
slope = - 
Step-by-step explanation:
given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are
(4, 6 ) and (- 2, 8 )
calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )
m = 
= 
= -
Answer:
The surface area is equal to 
Step-by-step explanation:
The surface area of the triangular pyramid is equal to the area of its four triangular faces
so
In this problem
![SA=4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have
substitute the values
![SA=4[\frac{1}{2}(15)(13)]=390\ in^{2}](https://tex.z-dn.net/?f=SA%3D4%5B%5Cfrac%7B1%7D%7B2%7D%2815%29%2813%29%5D%3D390%5C%20in%5E%7B2%7D)
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
