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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

Answer:

y = -3x-2

Step-by-step explanation:

3y = -9x-6. y = (-9x-6)/3. y = (-9x/3)+(-6/3). y = -3x-2

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I need help with this proof, the given and prove are at the top. Plzzzz help

Goshia [24]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°

Prove: x= 39°

Statement Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given

and m∠ DOC= (x+14)°

2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC

into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160° 3. By substitution

4. 4x+4 = 160° 4. By equating like terms

5. 4x= 156° 5. By subtraction property

of equality

6. x= 39° 6. By division property of equality

7 0

3 years ago

1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

4 years ago

What is Australia constitution

Daniel [21]

Answer :

The Australian Constitution is the set of rules by which Australia is run. It came into effect on 1 January 1901. This fact sheet summarises the key features of the Constitution and how it can be changed. Commonwealth of Australia Constitution Act, 1900: Original Public Record Copy (1900).

7 0

2 years ago

Do you think it is true that any solution point of the equation y=1/2x+1 is a point on the line?

Harman [31]

Yes, yes it is!
Because every point on the line of this equation is also a solution!
THis is called a linear equation!

6 0

3 years ago

100 POINTS

olga nikolaevna [1]

Answer:

5.2

Step-by-step explanation:

To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.

6 0

3 years ago

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