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3 years ago

Use the diagram to answer the questions.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer:

Line m is not parallel to Line n.

Line m is perpendicular to Line k

Step-by-step explanation:

1. Calculate slopes of n and m. N = -2 and M = -7/4. The two slopes aren't the same thus they are not parallel

2. Slope of m = -7/4 and k = 4/7. By definition of perpendicular these two fit the description. (to be perpendicular, k = -1/m

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In which table is y not a function

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Answer: B. I think

Step-by-step explanation:

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3 years ago

Anyone know how to do this

adell [148]

Answer:

Final answer is $\frac{x^2-3x}{x^2-3x+2}$

Step-by-step explanation:

$\frac{x^2+x-6}{x^2+2x-3}+\frac{x-4}{x^2-3x+2}$

In this type of problems, we factor numerator and denominator whichever possible. then make denominators equal and combine numerator.

Then simplify to get the answer. $=\frac{x^2+x-6}{x^2+2x-3}+\frac{x-4}{x^2-3x+2}$

$=\frac{x^2+3x-2x-6}{x^2+3x-1x-3}+\frac{x-4}{x^2-1x-2x+2}$

$=\frac{x\left(x+3\right)-2\left(x+3\right)}{x\left(x+3\right)-1\left(x+3\right)}+\frac{x-4}{x\left(x-1\right)-2\left(x-1\right)}$

$=\frac{\left(x-2\right)\left(x+3\right)}{\left(x-1\right)\left(x+3\right)}+\frac{x-4}{\left(x-2\right)\left(x-1\right)}$

$=\frac{\left(x-2\right)}{\left(x-1\right)}+\frac{x-4}{\left(x-2\right)\left(x-1\right)}$

$=\frac{\left(x-2\right)}{\left(x-1\right)}\cdot\frac{\left(x-2\right)}{\left(x-2\right)}+\frac{x-4}{\left(x-2\right)\left(x-1\right)}$

$=\frac{x^2-2x-2x+4}{\left(x-1\right)\left(x-2\right)}+\frac{x-4}{\left(x-2\right)\left(x-1\right)}$

$=\frac{x^2-2x-2x+4+x-4}{\left(x-1\right)\left(x-2\right)}$

$=\frac{x^2-3x}{x^2-2x-1x+2}$

$=\frac{x^2-3x}{x^2-3x+2}$

Hence final answer is $\frac{x^2-3x}{x^2-3x+2}$

6 0

3 years ago

Read 2 more answers

The Statue of Liberty in New York Harbor stands at a height of 305 ft what is the metric equivalent in meters

Rus_ich [418]

Answer:

92.964

Step-by-step explanation:

Just Divide 305 by 3.281 to get 92.964

7 0

3 years ago

Artie has a book of short stories. The number of each type of short story is shown below.

enyata [817]

we are given

• 6 science-fiction stories

• 4 adventure stories

• 3 historical stories

• 2 sports stories

so,

total number of stories =6+4+3+2

total number of stories =15

Probability of selecting science stories:

number of science stories =6

total number of stories =15

P(S)=(number of science stories)/(total number of stories)

$p(S)=\frac{6}{15}$

$p(S)=\frac{2}{5}$

Probability of selecting adventure stories:

number of adventure stories =4

total number of stories =15

P(A)=(number of adventure stories)/(total number of stories)

$p(A)=\frac{4}{15}$

now, we can find

the probability that the story Artie selects is either a science-fiction story or an adventure story

that is P(AUS)

p(AUS)=p(A)+p(S)-p(A∩S)

we know that

p(A) and p(S) are independent

so,

p(A∩S)=p(A)*p(S)

we can plug it

p(AUS)=p(A)+p(S)-p(A)*p(S)

we get

p(AUS)= $\frac{2}{5}+\frac{4}{15}- \frac{2}{5}*\frac{4}{15}$

p(AUS)= $\frac{14}{25}$ ...........Answer

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4 years ago

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photoshop1234 [79]

Answer:

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Step-by-step explanation:

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3 years ago