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3 years ago

Point P was rotated about the Irgun (0,0) by -15

Mathematics

1 answer:

mart [117]3 years ago

7 0

Answer:

Step-by-step explanation:

The point you're looking for is the same distance from the origin, but 15° clockwise around a circle centered at the origin. Points A and D are the only ones with the same radius. Point D is the only one that is 15° clockwise from P.

_____

The approximate coordinates of the rotated point are (-4.3120, 3.2259).

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Which of the following functions is not a linear

kicyunya [14]

By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.

<h3>Which of the following functions is not a linear function?</h3>

A polynomial is an expression of the form:

$p(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_0$

Where all the exponents are natural numbers.

We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.

So a linear function is of the form:

$f(x) = a_1*x + a_0$

Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.

Then the correct option is C.

If you want to learn more about linear equations:

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2 years ago

What is 1000 degrees celsius in fahrenheit?

otez555 [7]

It would be 1832 fahrenheit.

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3 years ago

What is the combined length of 5/8

Kipish [7]

5/8 + 5/8 + 5/8 = 15/8 = 1 7/8 inches.

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3 years ago

Suppose that, in addition to edge capacities, a flow network has vertex capacities. That is each vertex has a limit l./ on how m

storchak [24]

Answer:

See explanation and answer below.

Step-by-step explanation:

The tranformation

For this case we need to construct G' dividing making a division for each vertex v of G into 3 edges that on this case are $v_1, v_2 and l(v)$ .

We assume that the edges from the begin are the incoming edges of $v_1$ and all the outgoing edges from v are outgoing edges from $v_2$

We need to construct $G' = (V', E')$ with capacity function a' and we need to satisfy the follwoing:

For every $v \in V$ we create 2 vertices $v_1, v_2 \in V'$

Now we can add a new edge asscoiated to $v_1, v_2 \in E'$ with the condition $a' (v_1,v_2) = l(v)$

Now for each edges $(u,v)\in E$ we can create the following edge $( u_r, v_1) \in E'$ and the capacity is given by: $a' (u_r, v_1) = a (u,v)$

And for this case we can see this:

$|V'| = 2|V|, |E'|= |E| +|V|$

Now we assume that x is the flow who belongs to G respect vertex capabilities. We can create a flow function x' who belongs to G' with the following steps:

For every edge $(u,v) \in G$ we can assume that $x' (u_r ,v_1) = x(u,v)$

Then for each vertex $u \in V -t$ and we can define $x\(u_1,u_r) = \sum_{v \in V} x(u,v)$ and $x' (t_1,t_2) = \sum_{v \in V} x(v,t)$

And after see that the capacity constraint on this case would be satisfied since for every edge in G' on the form $(u_r, u_1)$ we have a corresponding edge in G because: