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Margaret [11]
3 years ago
13

How do I write y-3=2/3(x-2) in standard form

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0
To write y-3=2/3(x-2), you must change the equation to this format: ax+by=c, whereas there are no common factors between the coefficients and constant, no fractions or decimals, and the coefficient of <em>a</em> cannot be negative. To start, first multiple both sides by 3 to get rid of the fraction 2/3. This would result in this: 3y-9=2(x-2)
Then, you distribute the 2 to (x-2) and you get 3y-9=2x-4
Now, to get this equation into ax+by=c form, subtract 2x from both sides, and add 9 to both sides, which will result in this: -2x+3y=5.
Now, since the coefficient of <em>a</em> is negative, multiply the entire equation by -1, to get you answer: 2x-3y=-5


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Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of
Levart [38]

Answer:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

Step-by-step explanation:

For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.

W= # heads- # coins

Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

8 0
3 years ago
Please help me thanks sooo much
natima [27]

Answer:

P = 21x + 4

Step-by-step explanation:

The perimeter is the length of all the sides added up.

(3x) + (4x + 1) + (2x - 2) + (2x - 2) + (3x + 1) + (4x + 5) + (3x + 1)

3x + 4x + 1 + 2x - 2 + 2x - 2 + 3x + 1 + 4x + 5 + 3x + 1

21x + 1 - 2 - 2 + 1 + 5 + 1

21x + 4

The  equation for the perimeter is

P = 21x + 4

6 0
3 years ago
George writes 1/5 of a page every 1/4 of an hour. How many pages does he write in one hour?
Zanzabum
The correct answer to your question is 4/5th of a page

8 0
3 years ago
Read 2 more answers
HELP me please I'm stuck!!?.​
SIZIF [17.4K]

Answer:

A

Step-by-step explanation:

Hope this helped!

5 0
3 years ago
Read 2 more answers
Pizza is available with three kinds of cheese and four toppings. how many different ways can you order your pizza with one type
e-lub [12.9K]
You will choose 1 cheese 3 different ways because there are three types of cheeses.

You will choose your topings 6 different ways. 4!/(2!2!) = 4*3/2 = 6

Therefore you will be able to get 6 * 3 different pizzas = 18 pizza combinations.

To confirm the toppings, suppose they are (M)ushrooms (P)epperoni (O)nions and (B)acon

M P
M O
M B
P O
P B
O B

Total 6.The order doesn't matter here. M O is the same thing as OM
8 0
3 years ago
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