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3 years ago

Explain why 3/4 and 9/12 are equivalent?

2 answers:

8 0

They’re equivalent because 3 • 3 is 9 and whatever you do to the top, you do to the bottom, therefore 4 • 3 is 12. That would equal 9/12.

lana [24]3 years ago

4 0

Answer:

3/4=9/12

Step-by-step explanation:

multiply the numerator and denominator by 3 to get:

3 3 9

--- X --- = ----

4 3 12

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3 years ago

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3 years ago

What is the equation of a circle with center (1, -4) and radius 2?

kvv77 [185]

Answer:

(x-1)^2 + (y+4)^2 = 4

Step-by-step explanation:

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2 years ago

Translate each of these statements into logical expressions by using quatifiers and predicates with one or two variables. (a) A

nikdorinn [45]

Answer:

a) $A = \{\exists x \in M, \exist y \in U\,|\,xGy \}$ , b) $B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}$ , c) $C = \{\forall x \in M\,|\,xI \}$ , d) $D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}$ , e) $E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}$

Step-by-step explanation:

a) x - A student, M - Set of students of discrete math class, G - has lived in, y - Florida, U - Set of states of the United States of America.

$A = \{\exists x \in M, \exist y \in U\,|\,xGy \}$

b) x - A student, M - Set of students of discrete math class, y - A perfect grade, H - Midterm I.

$B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}$

c) x - A student, M - Set of students of discrete math class, I - loves discrete math.

$C = \{\forall x \in M\,|\,xI \}$

d) x - A student, M - Set of students of discrete math class, J - has been in, y - a state, U - Set of states of the United States of America.

$D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}$

e) x - A student, M - Set of students of discrete math class, J - has been in, y - a city, V - At least one state of the United States of America, U - Set of states of the United States of America.

$E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}$

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3 years ago