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RUDIKE [14]
3 years ago
5

F(x)=-x^2+8x-20 find the min/max value

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0
Use the formula 
-b/2(a)
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Line segment YV of rectangle YVWX measures 24 units.
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<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

WV=YX\\\\YV=XW=24

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

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\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24

Therefore, in order to find the length of the segment YX, you must substitute values into  tan\alpha =\frac{opposite}{adjacent} and then you must solve for YX.

You get that this is:

tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85

7 0
3 years ago
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