Answer:
If 
is the transformed function, then the parent function 
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is 
is the parent function.
A vertical shift,b units up will transform the function to 
.
A horizontal shift 
units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
X=6y
sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y
x=6y
x=6(1/6)
x=6/6
x=1
the numbers are 1 and 1/6
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates.
Answer:
Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.
48 + 90 + y = 180
138 + y = 180
-138 + 138 + y = 180 - 138
y = 42°
