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3 years ago

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Mathematics

1 answer:

elena55 [62]3 years ago

7 0

?!?! whaaatt confused lol

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Graph f(x) =<br> x and g(x) = -1/3x+2<br> on the same coordinate plane.

Vesnalui [34]

It’s not too hard,

I hope that helps.

6 0

3 years ago

Does anyone know how to solve this?

erik [133]

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

8 0

3 years ago

Helppppppopppppppppppppppppp

salantis [7]

B is a correct answer

6 0

3 years ago

A convex parabola is shown in a coordinate plane. The parabola connects the points left-parenthesis negative 4.5 comma 12 right-

spayn [35]

Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.

To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:

$A. (- 3 - 3)(3 + 4) = -42$

$B. (-3 + 3)(-3 - 4) = 0$

$C. (-3 + 2)(-3 - 4) = 7$

$D. (-3)(-3 + 12) = -27$

We can see that Choice B is the correct function, because it produces 0 when we substitute $x = - 3$ . Thus, Choice B, or (x + 3)(x - 4) is the answer.

8 0

3 years ago

Where was the first national bank located?<br><br> i need help

katovenus [111]

Philadelphia, pennsylvania!!

8 0

3 years ago