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goblinko [34]
3 years ago
14

What is the Axis of Symmetry in Parabolas?

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y = ax 2 + bx + c, the axis of symmetry is a vertical line.
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Match the trigonometric ratios with their values based on the triangle shown in the diagram.
vova2212 [387]
Sin D - 4/5
This is because sin would mean Opposite/Hypotenuse, and so if the angle is D then the opposite is 4.

sin C - 3/5
This is basically the same reason as sin D, however this time the Opposite is 3.

sin D × cos D - 4/5 × 3/5 = 12/25
For here, you just get the fractions of sin D, which we got earlier, and cos D, which would be Adjacent/Hypotenuse and therefore 3/5.

tan C × tan D - Not an option

cos C × tan D - 16/15
This is because cos C would be 4/5, and tan D would be 4/3 (Opposite/Adjacent) and multiplying those fractions together gives 16/15.

I hope this helps!
6 0
3 years ago
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Draw a 6 × 6 grid. Colour 1
attashe74 [19]

Answer:

Step-by-step explanation:

there are 36 squares

red takes 1 of 4 so red has 9

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5 of 12 of the grid is yellow

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3 years ago
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Answer:

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5 0
3 years ago
If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

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Ok bet I got you say less
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