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Lena [83]
2 years ago
8

Use the drawing tools to form the correct answer on the graph.

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
3 0

Answer:

Step-by-step explanation:

Comment

You are only asked to draw the figure. You are not asked about anything to do with the standard form. So the drawing you need is below what is written here.

You should notice that the graph is in the shape of a cup that contain a liquid. It has a low point at (2,2) and a y intercept at 6. The y intercept occurs when x = 0.

The low point is reached when (x - 2) = 0. That makes x = 2. If x is anything but 2 something will be added on to the graph and f(x) will larger than 2.

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3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=4 and BC=3, Find AH, CH and BH.
IRISSAK [1]

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

3 0
3 years ago
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