Answer:
Option C
The graph of g is vertically shifted 5 units down
Answer:
A : ±2
Step-by-step explanation:
Add 14 and you have ...
... x² = 4
Take the square root and you have ...
... x = ±√4 = ±2
Answer:
The correct answer is option C
They are complementary angles
Step-by-step explanation:
From the figure we can see two angles <ABC and <LMN,
<u>To find the correct option</u>
From figure we get,
m<ABC = 20°° and m<LMN = 70°
m<ABC + m<LMN = 20 + 70 = 90°
Therefore <ABC and <LMN are complementary angles
The correct answer is option C
They are complementary angles
Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem



Since given AD=BC,let us plugin BC=x in above step.


6x=11
x=
Now we know AD=x=
and given CD=√2.
Let us apply Pythagoras theorem for ΔACD



= 2.315cm
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above