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pickupchik [31]
3 years ago
15

Is the following relation a function. A) yes B) no

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

A relation is a function in which for each input there is only one output.

In a relation, y is a function of x.

Now we look at the mapping

For input 6, -1 is the output

for input -1, 2 is the output

for input 4, 3 is the output

for input 0, 3 is the output

For each input , there is an output. Input is not repeating. Input is occurring only once.

So this relation is a function.

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Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))
Marat540 [252]

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30°  = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

  = 6 (√3/2) + i 6 (1/2)

   = 3√3 + 3i

6 0
3 years ago
Who am I if you multiply me by -3 and add 12 the result is -48
crimeas [40]

Answer:

you would be 20

Step-by-step explanation:

easy peasy

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Solve 0.9 x + 5.1 x -7= 2(2.5x-3). how many solutions dose the equation have?
Nataly [62]
The equasion has only one solution.

4 0
3 years ago
Answer the ones you know
vladimir2022 [97]
For question 2 it is 15

Because: 4 time 6 is 24 and then you minus 9 which is 15

So there you have it the answer is 15





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3 years ago
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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
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