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Leni [432]
3 years ago
13

Find the distance represented of the coordinate plane

Mathematics
2 answers:
statuscvo [17]3 years ago
6 0
The answer that i got is choice A . hope this is helpful and correct :-)
antiseptic1488 [7]3 years ago
3 0

Answer:

The answer to your question is: letter A

Step-by-step explanation:

From the graph we get the points,

P (2,1)

Q (6,8)

Formula

d = √((x2-x1)² + (y2-y1)²)

d = √((6-2)² + (8-1)²)

d = √ (4² + 7²)

d = √ (16 + 49

d = √65           letter A

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Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
√45 is the distance between which of the following complex numbers?
Schach [20]

Step-by-step explanation:

we don't see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 - 3i

-6 - 3i

-3 + 6i

3 - 6i

-3 - 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) - (c + di) = a-c + (b-d)i

3 0
3 years ago
I need help pleasee???)):
svetlana [45]

Answer:

Quadrant 1

Step-by-step explanation:

Because (4,7) has both positive coordinates. Quadrant 1 is the only quadrant that can have both positive coordinates

8 0
3 years ago
Read 2 more answers
Help please!!! I’m having trouble
devlian [24]

Answer:

240

Step-by-step explanation:

8x3x10

6 0
3 years ago
Write the equation of the line that goes through the point
kompoz [17]

Answer:

Step-by-step explanation:

7y = -6x - 19

y = -6/7x - 19/7

perp. 7/6

y - 7 = 7/6(x + 6)

y - 7 = 7/6x + 7

y = 7/6x + 14

3 0
3 years ago
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