Mathematics, 15.01.2020 17:31 Rch64

Which point could be on line that is parallel to line kl and passes through point m?

(-10,0)
(-6,2)
0,-6)
(8,-10)

Which point could be on line that is parallel to line kl and passes through point m? (

Answers: 2

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Answers

Answer from: legendman27

Step 1

Find the slope of the line KL

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$K(-6,8)\ L(6,0)$

substitute the values

$m=\frac{0-8}{6+6}$

$m=\frac{-8}{12}$

$m=-\frac{2}{3}$

Remember that

If two lines are parallel . then their slope are equal

we are going to calculate the slope of the line between point M and the different points. If the slope is equal to the slope of the line KL, then the point could be on line that is parallel to the line KL and passes through the point M.

Step 2

Find the slope of the points

$M(-4,-2)\ A(-10,0)$

substitute the values in the formula

$m=\frac{0+2}{-10+4}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

The slope of the line MA is not equal to the slope of the line KL

$-\frac{1}{3}\neq -\frac{2}{3}$

therefore

The point A could not be on line that is parallel to the line KL and passes through the point M

Step 3

Find the slope of the points

$M(-4,-2)\ B(-6,2)$

substitute the values in the formula

$m=\frac{2+2}{-6+4}$

$m=\frac{4}{-2}$

m=-2

The slope of the line MB is not equal to the slope of the line KL

$-2\neq -\frac{2}{3}$

therefore

The point B could not be on line that is parallel to the line KL and passes through the point M

Step 4

Find the slope of the points

$M(-4,-2)\ C(0,-6)$

substitute the values in the formula

$m=\frac{-6+2}{0+4}$

$m=\frac{-4}{4}$

m=-1

The slope of the line MC is not equal to the slope of the line KL

$-1\neq -\frac{2}{3}$

therefore

The point C could not be on line that is parallel to the line KL and passes through the point M

Step 5

Find the slope of the points

$M(-4,-2)\ D(8,-10)$

substitute the values in the formula

$m=\frac{-10+2}{8+4}$

$m=\frac{-8}{12}$

$m=-\frac{2}{3}$

The slope of the line MD is equal to the slope of the line KL

$-\frac{2}{3}=-\frac{2}{3}$

therefore

The point D could be on line that is parallel to the line KL and passes through the point M

the answer is

(8,-10)

Answer from: Quest

your answer is b ^w^ hope i

Which could be a conditional relative frequency table ?

Answer from: Quest

we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

$(5 + x)/6 = 6/x$

$x(x+5) = 36$

$x^2 +5x - 36 = 0$

$(x+9)(x-4) = 0$

we reject the negative root and conclude x=4

answer: 4

If bc = 6 and ad = 5, find dc. a) 4 b) 4.5 c) 7.2

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Which point could be on line that is parallel to line kl and passes through point m?

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