3 years ago

What is the domain of the function f(x)=6x+7

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

The domain is all real numbers, reason being, you can put any number for x and get a valid coordinate.

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The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector

Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

$x^{2}=4py$ (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

$x^{2}=4(6)y=24y$ (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

$(4.5)^{2}=24y$ , solving for y

$y=\frac{(4.5)^{2}}{24}\approx0.84\,ft$

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3 years ago

Please help and explain

Nesterboy [21]

Answer:

Step-by-step explanation:

Proportional functions are of the form y=kx where k is the constant of proportionality.

k=y/x in this case

k=1008/3.5

k=288

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2 years ago

If AP 10 - 12. what is the perimeter of quadrilateral TAEO (a) 56 (b)64 (c)72 (d)76

BlackZzzverrR [31]

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3 years ago

I need help please help me

Leviafan [203]

Is that the Algebra work/practice book? If so, go into algebra nation and they have videos where they go step by step through the questions. Hope this helps?

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2 years ago

What is the slope of a line that goes through (0,6) and (6,0)

vazorg [7]

(x1,y1)=(0,6)
(x2,y2)=(6,0)
slope=(0-6)/(6-0)=0

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3 years ago