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Murljashka [212]
3 years ago
15

(16x²+24xy+9y²)÷(4x+3y)​

Mathematics
2 answers:
ruslelena [56]3 years ago
7 0

Answer:

4x+3y

Step-by-step explanation:

8_murik_8 [283]3 years ago
3 0

Answer:

4x + 3y

Step-by-step explanation:

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given examples of relations that have the following properties 1) relexive in some set A and symmetric but not transitive 2) equ
rodikova [14]

Answer: 1) R = {(a, a), (а,b), (b, a), (b, b), (с, с), (b, с), (с, b)}.

It is clearly not transitive since (a, b) ∈ R and (b, c) ∈ R whilst (a, c) ¢ R. On the other hand, it is reflexive since (x, x) ∈ R for all cases of x: x = a, x = b, and x = c. Likewise, it is symmetric since (а, b) ∈ R and (b, а) ∈ R and (b, с) ∈ R and (c, b) ∈ R.

2) Let S=Z and define R = {(x,y) |x and y have the same parity}

i.e., x and y are either both even or both odd.

The parity relation is an equivalence relation.

a. For any x ∈ Z, x has the same parity as itself, so (x,x) ∈ R.

b. If (x,y) ∈ R, x and y have the same parity, so (y,x) ∈ R.

c. If (x.y) ∈ R, and (y,z) ∈ R, then x and z have the same parity as y, so they have the same parity as each other (if y is odd, both x and z are odd; if y is even, both x and z are even), thus (x,z)∈ R.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial but not transitive, so the relation provided in (1) satisfies this condition.

Step-by-step explanation:

1) By definition,

a) R, a relation in a set X, is reflexive if and only if ∀x∈X, xRx ---> xRx.

That is, x works at the same place of x.

b) R is symmetric if and only if ∀x,y ∈ X, xRy ---> yRx

That is if x works at the same place y, then y works at the same place for x.

c) R is transitive if and only if ∀x,y,z ∈ X, xRy∧yRz ---> xRz

That is, if x works at the same place for y and y works at the same place for z, then x works at the same place for z.

2) An equivalence relation on a set S, is a relation on S which is reflexive, symmetric and transitive.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial and not transitive.

QED!

6 0
3 years ago
Write the equation of the line with the given point and slope. <br><br> (-5, -3); slope = -3/5
ycow [4]

point-slope equation - y+3= -3/5( x+5)

slope-intercept form- y= -3/5x +b

6 0
3 years ago
The following table shows the amount of lemon flavor and water needed in four punch recipes. Punch Recipes Lemon flavor Water Re
Sauron [17]

Answer:

recipe 2

Step-by-step explanation:

4 0
2 years ago
The two angles shown in the figure are complementary. What is the value of y?
Free_Kalibri [48]

Complementary angles, sum = 90

So 3y - 4 + 73 = 90

3y + 69 = 90

3y = 21

y = 7

Answer

y = 7

8 0
3 years ago
Read 2 more answers
Calculate 6+9i/-1+4i
lisabon 2012 [21]

Multiply the numerator and denominator by the conjugate of the denominator:

\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}

Simplify:

\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}

8 0
2 years ago
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