what is the equation of a line that passes through the point (-3,1) and is parallel to a line with a slope of 2?

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator  1 + √3 is 1 - √3

[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]

Answer:

1/7

Step-by-step explanation:

there are 7 number possibilities 0,1,2,3,4,5,6.

so if they each have an equal probability the answer is 1/7

Answer:

Independent events, 1/16

Step-by-step explanation:

What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.

Which means that they are independent events.

And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.

Answer:

21,27,34 i think

Step-by-step explanation:

Answer:

yes because they have equal sides

It can also be called a polygon because they have congruent sides.

Answer:

1/36

Step-by-step explanation:

Getting a 3 is 1/6

Getting a 5 is 1/6

Multiply those and get 1/36

Answer:

2 1/4 < x ≤ 4

Step-by-step explanation:

12x−39≤9 AND−4x+3<−6

Solve them separately and then put back together

12x−39≤9

Add 39 to each side

12x−39+39≤9+39

12x ≤48

Divide by 12

12x/12 ≤48/12

x ≤4

Now the other inequality

−4x+3<−6

Subtract 3 from each side

−4x+3-3<−6-3

-4x < -9

Divide by -4, remembering to flip the inequality

-4x/-4 > -9/-4

x > 2 1/4

put back together

x > 2 1/4 and x ≤4

2 1/4 < x ≤ 4

Answer:

2.25<x≤4

Step-by-step explanation:

12x−39≤9 ⇒ 12x≤ 48 ⇒ x≤4

−4x+3<−6 ⇒ -4x < -9 ⇒ x> 9/4= 2.25

2.25<x≤4

or

x= (2.25, 4]

Answer:

The solution to the system of linear equation is (0,2)

The solution to the system of linear equation is (2.-3).

Simultaneous linear equations can be defined as the two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

3x-y=9 - - - -(1)

4x+y=5 - - - - (2)

Adding equations 1 and 2

7x = 14

x = 2

Now, we have

3(2) - y = 9

-y = 9 - 6

-y = 3

y = -3

Thus, the solution of the given simultaneous equations are x = 2 and y = -3.

Learn more about simultaneous equations here:

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Answer:

The correct option is A,$48.75

Step-by-step explanation:

The amount of spend on theater tickets is missing, however it can be computed  by using the below formula:

Closing balance=opening balance-cost of groceries+ rebate check-cost of gas-cost of theater tickets+ paycheck

$695.15=$430.57-$57.19+$15-$22.30-cost of theater tickets+$377.82

cost of theater tickets=$430.57-$57.19+$15-$22.30+$377.82-$695.15

cost of theater tickets=$48.75

Answer:

A on EDGE

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

follow the BEDMAS

24+4(3+1)

=24+4(4)

=24+16

=40

Answer:

40

Step-by-step explanation:

24+4(3+1) Order of operations(Bedmas)

24+4(3+1)

24 + 12 + 4. Left to right

36 + 4

40

Answer:

4%

Step-by-step explanation:

1/25 = 0.04 = 4%

Answer:

is there a graph included

Answer:

It's B

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Set the numbers in order from least to greatest, then find the one in the middle, which will be the median.

19, 23, 42, 56, 67

42 is in the middle, so it is the median.

Answer:

C

Step-by-step explanation:

work shown below

Answer:

do you still need an answer

Answer:

5 ⁴/6

Step-by-step explanation:

12⅚ - 7⅙ = 5 ⁴/6

12 - 7 = 5

⅚. -. ⅙ = ⁴/6

HOPE THIS HELPS! (:

4/6 is a fraction, it just looks funky

Answer:

C. $15.88

Step-by-step explanation:

$25.38-$9.50=$15.88

Answer:

the area using heron's formula

the perimeter

Answer:

[tex][1250,1350)[/tex].

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., [tex]1250\leq x\leq 1300[/tex]     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., [tex]1300\leq x<1350[/tex]       ...(2)

On combining (1) and (2), we get

[tex]1250\leq x < 1350[/tex]

1350 is not included in the error interval for x.​

Interval notation is [tex][1250,1350)[/tex].

Therefore, the error interval for x is [tex][1250,1350)[/tex].

Answer:

Hello

Here's the answer:

2x^2 + 5x + 2 = 0\\&#10;2x^2+4x+x+2=0\\&#10;2x(x+2)+1(x+2)=0\\&#10;(2x+1)(x+2)=0\\&#10;x=-\frac{1}{2} \vee x=-2

x^2-4x+1=0\\&#10;x^2-4x+4-3=0\\&#10;(x-2)^2=3\\&#10;x-2 =\sqrt3 \vee x-2=-\sqrt3\\&#10;x=2+\sqrt3 \vee x=2-\sqrt3

Step-by-step explanation:

Answer:

A. y = 6

Step-by-step explanation:

Y= 0 is equation of x - axis

 equation of any straight line which is  parallel to x-axis and at  distance of a from it is given y = c.

Therefore,  from the given option only option A y =6 is in form of y = a and hence is the correct answer.

_______________________________________

Also we know that for two lines to be parallel , their slope should be equal.

slope of line y = mx + c is m

slope of y = 0 here m = 0, hence slope is 0

out of the given option

only for y - 6 slope is 0 and hence it is the correct answer.

___________________________________

Answer:

p=0.006=1.006

Step-by-step explanation:

Google....

Divide the pages read by the portion read:

60/ 3/4 = 60 x 4/3 = 240/3 = 80

The book has 80 pages.

Answer:

80 pages in the book

Step-by-step explanation:

60/3=20

20*4=80

80 pages

Answer:the answer is {( -5,1),(-3,2),(-1,3),(1,4),(3,5)}

Step-by-step explanation: The x should not repeat

Answer:

1st 1

Step-by-step explanation:

What if the x repeats negative?

Answer:

x = 14/3

Step-by-step explanation:

4(2x-3)+8(x-4)=2(2x+6)

Distribute

8x -12 +8x - 32 = 4x +12

Combine like terms

16x -44 = 4x+12

Subtract 4x

16x-4x -44 = 4x+12-4x

12x -44 =12

Add 44 to each side

12x-44+44 = 12+44

12x = 56

Divide each side by 12

12x/12 = 56/12

x = 14/3

Answer:

[tex]x=\dfrac{14}{3}[/tex]

Step-by-step explanation:

[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]

Expand parentheses:

[tex]8x-12+8x-32=4x+12[/tex]

Combine similar terms:

[tex]16x-44=4x+12[/tex]

Subtract 4x and add 44 to both sides:

[tex]12x=56[/tex]

Divide both sides by 12:

[tex]x=\dfrac{14}{3}[/tex]

Hope this helps!

Answer:

1 gallon

Step-by-step explanation:

Answer: y =1

Step-by-step explanation:

Evaluating the equation for x  = 0:

y = 54 (0) + 1

y =1

The y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The missing figure is attached to the picture.

Calculataing  the equation for x  = 0:

y = 54 (0) + 1

y = 1

Thus, the y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.

Learn more about the linear equation here:

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Answer:

the answer is c

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

multiples of 2 = 2,4

probability of getting multiples of 2 is 2

total probability is 5

so probability of getting multiples of 2 is..... 2/5

hope it helps

all the best

Answer:

2/5

Step-by-step explanation: