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dusya [7]
3 years ago
14

Determine which of these relations are transitive. The variables x, y, x', y represent integers A.x~y if and only if x +y is pos

itive. B. (x, y)~(x/.y/) if and only if x+yx+y C.x~y if and only if xy 2 0 D.x~y if and only if x + y is even. Ex~y if and only if xy is negative. Fx~y if and only if x-y is a multiple of 10.

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

A, B, C,D, F

Step-by-step explanation:

The explanation for why each option is transitive and option E is not transitive is explained in the attachment

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Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

  • Bisect each other
  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

4 0
3 years ago
What is the difference-6-(11)
Lana71 [14]

Answer:

-17

Step-by-step explanation:

So you take -6 and subtract another 11, that gives you negative 17.

Hope This Helps! If it doesn’t let me know and I can explain it more in depth.

7 0
2 years ago
Read 2 more answers
Points S, L, and P on this grid represent the locations of the school, the library, and the park
Vlad [161]

The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.

<h3>What is the length of any line on the graph?</h3>

The distance or length of any line on the graph,

D = √{(x₂ - x₁)² + (y₂ - y₁)²}

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance from school to the library is SL, therefore,

\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units

The distance from library to the park is LP, therefore,

\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units

Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).

Learn more about the Length of the line:

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4 0
1 year ago
Which two statements contradict each other?
kifflom [539]
II(RS is a median) and III(RS is a side of RST)
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3 years ago
Identify the solution set of the given inequality using the given replacement set.
scoundrel [369]
Another user previously answered this same question and had a good rating, his answer was as follows:

"{-9; -6.5; -5.2}" 

Which I suppose would be answer D.
- Hope it helps.

3 0
3 years ago
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