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ahrayia [7]
4 years ago
9

Anty: Word problems LLV

Mathematics
1 answer:
Wewaii [24]4 years ago
7 0

Answer:

Step-by-step explanation:

Coco butter

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Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12
tiny-mole [99]

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12

5 0
2 years ago
What is the equation of the line in the graph? 4,0 0,4
horrorfan [7]
Find the slope soooo its (y2-y1/x2-x1)= -4/4 so -1 is slope
equation is y=-x+4
5 0
4 years ago
Read 2 more answers
Please help <br><br> Help<br><br> Help
larisa [96]

Answer:

6x-4y=24

Step-by-step explanation:

From the graph, there are two intersections to be found one at (4,0) and another at (0,-6)

Now,

slope,m= y1-y2/x1-x2

=0+6/4-0

=3/2

The equation of the straight line passingt through the point (4,0) is

y-y1=m(x-x1)

or, y-0=3/2 (x-4)

or, 2y=3x-12

or, 3x-2y=12

or, 2(3x-2y)=2(12) [Multiplying both sides by 2]

or, 6x-4y=24

6 0
3 years ago
If a boy has two brothers and three sisters, and everyone
gtnhenbr [62]
The answers 10 because you add them all together then multiple 5 by 2
7 0
3 years ago
Read 2 more answers
What would the solution of y=-x+2 and x-4y=-28
malfutka [58]

Answer:

x = -4

Step-by-step explanation:

If y is equal to-x + 2 then you can plug that into the second equation as x - 4(-x + 2) = -28 after this distribute out the -4 to get x + 4x - 8 = -28. After this combine the like terms to get 5x = -20. Then get x by itself by dividing by 5 to get x = -4.

4 0
3 years ago
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