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lisov135 [29]
3 years ago
14

What are the coordinates of A,B,C ?

Mathematics
1 answer:
denis23 [38]3 years ago
8 0
A (-6, -4)
B (3, 4)
C (6, -1)
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Total capacity (in litres)
=(x-2) + (x) + (x+2) + (x+4)   group like terms
=4x-2+0+2+4
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You are flying a kite and have let out 30 feet of string but it got caught in an 8ft tree. What is the angle of elevation to the
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2 years ago
Express the following relations in the set builder notation. Then, determine whether it is reflexive, symmetric, transitive. Ple
pshichka [43]

Answer:

a)Reflexive, not symmetric, transitive

b)Reflexive, not symmetric, transitive

c)Not reflexive, symmetric, not transitive

d)Reflexive, not symmetric, transitive

Step-by-step explanation:

a)

R=\left \{ (a,b)\epsilon  \mathbb{R} \times \mathbb{R} \mid a \leq b\right \}

The relation R is reflexive for

a\leq a for every real number a

it is not symmetric because 0 is less than 1, but 1 is not less than 0

it is transitive

a\leq and b\leq c\Rightarrow a\leq c

So if aRb and bRc, then aRc

b)  

R=\left \{ (m,n)\epsilon  \mathbb{Z} \times \mathbb{Z} \mid \exists k\in \mathbb{Z} \ni m=kn \right \}

R is reflexive because m=1.m for every integer m

R is not symmetric: 2 is a factor of 4, but 4 is not a factor of 2

R is transitive:  if mRn and nRp if m=kn and n=qp, so m=(kq)p and kq is an integer , so mRp

c)

R=\left \{ (m,n)\epsilon  \mathbb{Z} \times \mathbb{Z} \mid m\neq n\right \}

R is obviously not reflexive because all numbers equals themselves

R is symmetric: if a different to b, then b different to a

R is not transitive: 1R2 and 2R1 (because 1 different to 2), but 1 = 1

d)

R=\left \{ A,B\mid A\subseteq B \right \}

R is reflexive for every set A is a subset of itself

R is not symmetric {1,2} is a subset of {1,2,3} but {1,2,3} is not a subset of {1,2}

R is transitive: if A is subset of B and B is subset of C, then A is subset of C

8 0
3 years ago
Aliyah wants to estimate the value of the quotient of 5.68 x 10^-3 and 8.54 x 10^-9. Which statement about the value is true?
ELEN [110]
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Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils, write a rate
olga55 [171]

Answer:

$0.80 per notebook

$0.40 per pencil

Step-by-step explanation:

To find the rate, we need to determine how much each item costs. That is, the cost per item.

Given that,

4 notebooks = $3.20

The cost of 1 notebook/rate = \frac{3.20}{4} = 0.80

Rate = $0.80 per notebook

Given that,

12 pencils = $4.80

The cost of 1 notebook/rate = \frac{4.80}{12} = 0.40

Rate = $0.40 per pencil.

7 0
2 years ago
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