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wolverine [178]
3 years ago
15

I need help with 7 please

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0
First put the equation in y- intercept form y= mx + b

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

From this form, we can see that the y-intercept is 2. So that point on the graph is (0, 2). Now let's find another point. Set x equal to 3. So

y = -1/3 (3) +2
y = -1 + 2 = 1

So our point is (3, 1)

Use these 2 points to graph the equation. To find other points you could use the slope to find them. The slope is represented by x in the equation (-1/3). Or you could set another x point and solve for y again. See the pic for the graph.

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Point a pq and r are collinear on pr and pq: pr =2/3. P is located on the origin q is located at (x,y) and r is located at (-12,
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The values of x and y are  8 and 0 respectively.

<em><u>Explanation</u></em>

As 'p' is located at (0,0) and 'r'  is located at (-12,0) , that means both 'p' and 'r' are on the x-axis.  So point 'q' will be also on the x-axis , and 'q' is located at (x,y)

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and length of  'pr'  = \sqrt{(-12-0)^2+(0-0)^2}= \sqrt{144}=12

Given that,   pq : pr =2/3

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\frac{x}{12} =\frac{2}{3}\\ \\ 3x=24\\ \\ x= \frac{24}{3}=8

Thus, the values of x and y are  8 and 0 respectively.

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