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3 years ago

6. Write an equation of a line that is Parallel to the line: y = 3x -3

Mathematics

1 answer:

jeka943 years ago

3 0

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

Slope Intercept Form :-

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

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svetoff [14.1K]

Yes they are correct

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3 years ago

A plant can manufacture 50 golf clubs per

Mazyrski [523]

Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

(x1, y1) = (50, 7647)

(x2, y2) = (100, 9147)

As we know,

The slope is,

⇒ $m=\frac{y2-y1}{x2-x1}$

On substituting the given values, we get

⇒ $=\frac{9147-7642}{100-50}$

⇒ $=\frac{1500}{50}$

⇒ $=30$

Now,

⇒ $(y-y1)=m(x-x1)$

On substituting the given values in the above equation, we get

⇒ $y-7647=30(x-50)$

⇒ $y-7647=30x-1500$

On adding "7647" both sides, we get

⇒ $y-7647+7647=30x-1500+7647$

⇒ $y=30x+6147$

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2 years ago

Choose the numbers to complete the statement about the expression.

mrs_skeptik [129]

Answer:

1 + and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to

10, so the fraction is nearest to 1.

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The value of the expression can be estimated as 1 + one-half = 1 and one-half.

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2 years ago

Sums of a sequence: How many total gifts did my true love give to me during the entire 12 days of Christmas? Hint: Without any o

ale4655 [162]

On the first day of Christmas,
my true love sent to me
A partridge in a pear tree. On the second day of Christmas,
my true love sent to me
Two turtle doves,
And a partridge in a pear tree. On the third day of Christmas,
my true love sent to me
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Two turtle doves,
And a partridge in a pear tree.

The song continues, adding 4 calling birds on the 4th day, 5 golden rings on the 5th, and so on up to the 12th day, when 12 drummers add to the cacophony of assorted birds, pipers and lords leaping all over the place.

Notice that on each day there is one partridge (so I will have 12 partridges by the 12th day), and each day from the second day onwards there are 2 doves (so I will have 22 doves), and from the 3rd there are 3 hens (total of 30 hens), and so on.

So, how many presents are there altogether?

Partridges: 1 × 12 = 12

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Total = 364

We observe that we have the same number of partridges as drummers (12 of each); doves and pipers (22 of each); hens and lords (30 of each) and so on. So the easiest way to count our presents is to add up to the middle of the list and then double the result: (12 + 22 + 30 + 36 + 40 + 42) × 2 = 364.

3 0

3 years ago

Read 2 more answers

How to convert a repeating decimal to a fraction

egoroff_w [7]

Always place it out of 9. For example, 0.333= 3/9, or if simplified, 1/3.

0.5555? this will be 5/9.

for the other way around, make it a repeating decimal, such as 4/9, make that 0.444

If it is 33/99, or even 333/999, the rule should be the same.

8 0

3 years ago