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3 years ago

Find the slope of line passing through the two points, (3, 6) and (3, 2)

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

Using slope formula

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{\Delta{y}}{0}$

We obtain division by 0 thus this means our slope is $\pm\infty$ .

Our line is vertical, like y-axis except it intersects x-axis at x = 3.

Hope this helps.

lilavasa [31]3 years ago

4 0

Answer:

It is undefined

Step-by-step explanation:

Slope formula:

m = y₂ - y₁ / x₂ - x₁

m = 2 - 6 / 3 - 3

m = -4 / 0

m = 0

From this calculation, there is no slope because the two points have the same x variable, which will result to a no run.

It would be a vertical line.

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Yanka [14]

Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$

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3 years ago

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ella [17]

Answer:

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Step-by-step explanation:

1760 yd=1 mi

1542yd+80yd=1622yd ----> not a yard

1622yd+1mi= 1mi and 1622 yd

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zubka84 [21]

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inna [77]

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3 years ago

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stiks02 [169]

Answer:

DG = 17

Step-by-step explanation:

DG and EF are similar so sides are same.

2x - 7 = x + 5

2x - x = 5 + 7

x = 12

So DG = 2x - 7

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= 24 - 7

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