Which equation goes with the graph
1 answer:
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ANSWER
The function that the given graph corresponds to is
EXPLANATION
The given graph in the attachment has x-intercepts at
These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,
The product of all these factors gives us the function whose graph was drawn.
This implies that,
Therefore the correct answer is option C.
The function that the given graph corresponds to is
EXPLANATION
The given graph in the attachment has x-intercepts at
These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,
The product of all these factors gives us the function whose graph was drawn.
This implies that,
Therefore the correct answer is option C.
Answer:
- AH = 3.2
- CH = 1.8
- BH = 2.4
Step-by-step explanation:
It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...
AC^2 = AB^2 + CB^2
AC^2 = 4^2 + 3^2 = 16 + 9 = 25
AC = √25 = 5
The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...
scale factor ∆ABC to ∆AHB = AB/AC = 4/5 = 0.8
And the scale factor to ∆BHC is ...
scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6
Then the side AH is 0.8·AB = 0.8·4 = 3.2
And the side CH is 0.6·BC = 0.6·3 = 1.8
These two side lengths should add to the length AC = 5, and they do.
The remaining side BH can be found from either scale factor:
BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4
_____
The sides of interest are ...
AH = 3.2
CH = 1.8
BH = 2.4
sorry for the order of steps