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melomori [17]
3 years ago
11

Which of the following points lies on the line y=x?​(-4,4)(2,-2)(-4,-4)-2,2

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0
The answer is (-4,-4) because y has to equal x, the first -4 is the x and the second one is the y
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Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x).
saveliy_v [14]

For this case we have the following functions:

f (x) = x + 7\\g (x) = x-4

We must find the product of the functions:

f (x) * g (x) = (x + 7) (x-4)

We apply distributive property:

f (x) * g (x) = x ^ 2-4x + 7x-28\\f (x) * g (x) = x ^ 2 + 3x-28

Finally, the product of the functions is:

x ^ 2 + 3x-28

Answer:

x ^ 2 + 3x-28

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
Given the equation 3x + 7 = -4, which
Pavel [41]

Answer:

Subtraction Property of Equality

Step-by-step explanation:

you should subtract both side with 7 first.

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3 years ago
How multiplied whole number with fraction
Fofino [41]

Search it up and you shall find an answer believe me it is there

3 0
3 years ago
Read 2 more answers
Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

7 0
2 years ago
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