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Sliva [168]
3 years ago
9

Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

3y = 2x + 24

Step-by-step explanation:

The correct question is as follows;

Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3

Solution

Here, we have a point and a slope, and we want to write the equation of the line

The method we shall use here is the point slope method

Mathematically, that will be;

y-y1 = m(x-x1)

(x1,y1) = (6,12)

m = 2/3

y-12 = 2/3(x-6)

3(y-12) = 2(x-6)

3y-36 = 2x - 12

3y = 2x -12 + 36

3y = 2x + 24

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Answer:56

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3 years ago
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a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t
Arlecino [84]

Answer:    \dfrac{12}{13}

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}

P(B|A)=1

P(B|A')=\dfrac{1}{4}

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}

The probability that the student knows the answer given that he answered it correctly is  \dfrac{12}{13} .

6 0
3 years ago
Currently, Nora is 3 time as old as damon. In 8 years she will be only 2 time as old as Damon. How old will Damon will be in 8 y
Ann [662]

In 8 years Damon will be 16 year's old.

We have Nora who 3 time as old as Damon and in 8 years she will be only 2 time as old as Damon.

We have to determine how old will Damon  be in 8 years.

<h3>If your present age is x and your sister is 4 years elder than you. Than what will be her age after 5 years from now.</h3>

Your present age = x.

Hence, your sister's present age = x + 4.

After five years, your age = x + 5.

Hence, your sister's age will be = x + 9.

According to question, we have -

Assume that the present age of Damon is x.

Then, Nora's age will be = y = 3x.

After 8 years -

Damon's age = x + 8

Nora's age = 3x + 8

Therefore -

3x + 8 = 2(x + 8)

3x + 8 = 2x + 16

x = 8

Hence, in 8 years Damon will be = 8 + 8 = 16 year's old.

To solve more questions on Age determination, visit the link below -

brainly.com/question/14580151

#SPJ1

6 0
1 year ago
I need help on this mathematical problem. thank you!
svp [43]
X*.50= the longer chain
X is how long the first chain is.

It is correct, because they wanted 50% more. More meaning multiply so you would multiply x the first chain times how mor long it needs to be.
7 0
3 years ago
Find the perimeter of each figure. Simplify.
Kay [80]

Answer:

5)14x+4

6)20x

Step-by-step explanation:

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3 0
3 years ago
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