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3 years ago

Convert y + 3 = -3(x + 5) to standard form.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Hi there!

$y + 3 = - 3(x + 5)$
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

$y + 3 = - 3x - 15$
Now subtract 3 from both sides.

$y = - 3x - 18$
And finally add 3x to both sides.

$3x + y = - 18$
The 4th answer choice is correct.

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Y = -1/3x + 5<br> X = -3

Rufina [12.5K]

Answer:

Y=6

Step-by-step explanation:

What it means is that the x is -3, so you take the -3 and plug it into the x.

Y=-1/3(-3)+5.

Y=1+5

Y=6 is your answer.

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2 years ago

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Use the Law of Sines to find the missing side of the triangle. Find b.

Mademuasel [1]

43.8 is the correct answer

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3 years ago

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What is the value of x? <br> ANSWER ASAP!!!

svp [43]

Answer:

24 inches

Step-by-step explanation:

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3 years ago

At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl

Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

$n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.$

Let 'p' represents the number of students who take all the three languages, then

$n(A\cap B\cap C)=p.$

Also,

$n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).$

From here, we get after subtracting equation(c) from (b) that

$n(A\cap B)=n(A\cap C)=14.$

Therefore,

$p=14+14-24=4,$ and from equation (a), we find

$n(B\cap C)=24-14=10.$

Thus,

$n(A\cap B\cap C)=4$ and

$n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.$

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

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3 years ago

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hoa [83]

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2 years ago