How do you graph 1/3x-1/6y=-2/3

Answers

Answer 1

Answer: -1/3x from both sides

Divide -1/6 from both sides

Then graph

Answer 2

Answer:

Final answer:

To graph the equation 1/3x - 1/6y = -2/3, rearrange it into slope-intercept form (y=mx+b), plot the y-intercept at (0, 4), and use the slope (2) to find additional points on the line.

Explanation:

To graph the equation 1/3x - 1/6y = -2/3, we can rearrange it into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Start by isolating y variable by adding 1/6y to both sides of the equation:

1/6y = 1/3x + 2/3

Then, multiply both sides of the equation by 6 to eliminate the fraction:

y = 2x + 4

Now, we can see that the slope (m) is 2 and the y-intercept (b) is 4. To graph this equation, plot the y-intercept at (0, 4) and then use the slope (2) to find additional points on the line.

Learn more about Graphing Linear Equations here:

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The line with equation ax+by=20 passes through the points(-2,10) and (1,5)
find a and b

Answers

$ax+by=20 \n \n(-2,10) \n \n a*(-2)+b*10 = 20 \n \n-2a +10b = 20 \n \n (1,5)\n \n a*1+b*5 = 20 \n \n a +5b = 20$

$\begin{cases} -2a+10b =20\n a+5b =20 \ /*2\end{cases} \n \n\begin{cases} -2a+10b =20\n 2a+10b =40 \end{cases}\n--------\n 20b=60 \ / :20 \n \nb=(60)/(20) =3$

$-2a+10b=20 \n \n-2a +10*3=20 \n \n-2a +30=20\n \n-2a=20-30\n \n-2a=-10 \ /: (-2)$

$a=(10)/(2)=5\n \n\begin{cases} a= 5 \nb=3\end{cases}$

$ax+by=20\n\nfor\ (-2;\ 10)\to x=-2;\ y=10\ substitute\n\n-2a+10b=20\n\nfor\ (1;\ 5)\to x=1;\ y=5\ substitute\n\n1a+5b=20\n\n\n \left\{\begin{array}{ccc}-2a+10b=20&/:2\na+5b=20\end{array}\right$
$+\left\{\begin{array}{ccc}-a+5b=10\na+5b=20\end{array}\right\n------------\n.\ \ \ \ \ \ \ 10b=30\ \ \ \ /:10\n.\ \ \ \ \ \ \ \ b=3\n\n\left\{\begin{array}{ccc}b=3\na+5b=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+5\cdot3=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+15=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=20-15\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=5\end{array}\right$

$Answer:a=5\ and\ b=3\to5x+3y=20.$

Noah had 3 boxes of marbles. Each box has 34 marbles. Noah gave Michelle 9 marbles from each box. How many marbles does Noah have now? Who has the most marbles,Noah or Michelle please help and good luck

Answers

Noah has 75 marbles. Noah has more marbles. this is because 34 times 3 is equal to 102. since michelle takes 9 marbles from EACH box, 9 times 3 is 27. 102 minus 27 is 75

The Idol's Eye diamond weighs 79.2 carats. The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye. What is the weight of the Blue Hope diamond?

Answers

idol - 33.68 = blue hope
79.2 - 33.68= 45.52 carats <----- Answer

Answer:

45.52

Step-by-step explanation:

If x-2 is a factor of x^2 - bx + b, where b is a constant, what is the value of b?

Answers

The value of b that makes x-2 a factor of x² - bx + b is 4.

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

The factor theorem states that; when f(k) = 0, then (x – k) is a factor of f(x).

Given that x-2 is a factor of x² - bx + b, hence:

f(2) = 2² - b(2) + b = 0

4 - 2b + b = 0

b = 4

Therefore the value of b that makes x-2 a factor of x² - bx + b is 4.

Find out more at: brainly.com/question/2449381

we have that

$x^2 - bx + b$

we know that

If $(x-2)$ is a factor of $x^2 - bx + b$

then

for $x=2$

$x^2 - bx + b$ is equal to zero

$2^2 - b*2 + b=0$

$4 - 2b + b=0$

$b=4$

therefore

the answer is

the value of b is equal to $4$

A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open.

Answers

so
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is $[((1)/(7))(n)(15)]+[ ((6)/(7)) (n)(17)]=hours$ where n represents the number of days in the month

apros 501.429

What is the measure of the radius of S?

Answers

A diameter is a straight line that crosses a circle and the radius equals the half of this distance. So, in our case, the diameter would be YL which equals 12.2 adn the radius would be:

12.2 / 2 = 6.1

Though you could see it this way, there is still another way of finding the radius. The radius is a straght line that goes from the centre to any point of the circle, which is the same thing as saying that it is half of a diameter:

SG is a line going from the centre (S) to G, which is also equal to 6.1

Hope it helped,

BioTeacher101

If the question is asking the radius of 'the circle' S, then we need to pick a point on the circle and measure its distance from the center.

In this case, we already have G picked for us and S is the center. So, GS is our radius. It is also written that GS is equal to 6.1. This means the length of the radius of the circle S is 6.1.

Another way of finding it is; as you can see from the picture, YL is a line which goes through the point S or the center. We call those lines a 'diameter'. Diameters also equal to two times of the radius.

So, we know that our diameter is 12.2, when we divide that by 2 we got: $(12.2)/(2) = 6.1$ as our radius.

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