A {1,2,3,4}<br>
B {2,4,9,16}<br>
C {1,2}<br>
D {1,2,3,4,9,16}
MaRussiya [10]
Answer:
B
Step-by-step explanation:
The range of the function consists of the set of output values ( on the right).
So its {2 4 9 16}
Treat this as you would the quadratic equation x^2 - 4x - 3 + 0. Solve this by completing the square:
x^2 - 4x + 4 - 4 - 7 = 0
(x^2 - 4x + 4) = 11
(x-2)^2 = 11, and so x-2 = plus or minus sqrt(11).
Graph this, using a dashed curve (not a solid curve). Then shade the coordinate plane ABOVE the graph.
All the triangles are similar, so the ratio of (long leg)/(short leg) is the same. The long leg of ΔADB is
.. AD = AC -DC = 20 -4
.. AD = 16
Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8
Selection D is appropriate.
_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))
It’s not 3 or 4 so I think 2
I hope this helps you
8m+7m+4n-2n
15m+2n
