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Neko [114]
3 years ago
7

(x,-4) and (2,8); m=_3

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

\bf (\stackrel{x_1}{x}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-4)}{2-x}=\stackrel{\stackrel{m}{\downarrow }}{-3}\implies \cfrac{8+4}{2-x}=-3 \\\\\\ \cfrac{12}{2-x}=-3\implies 12=(2-x)(-3)\implies 12=-6+3x \\\\\\ 18=3x\implies \cfrac{18}{3}=x\implies 6=x

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Sloan [31]

Answer:

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

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Answer:

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Step-by-step explanation:

It is false because 12 has the factors of 2 and 4 but 8 is not a factor of 12.

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Step-by-step explanation:

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