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2 years ago

Write the equation of the perpendicular bisector of the line segment connecting (10, 3) to (6, -13)

Mathematics

1 answer:

Feliz [49]2 years ago

3 0

Answer:

y = -1/4x - 3

Step-by-step explanation:

Halfway through would be:

(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)

The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.

That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.

Put this in point slope form with slope = -1/4 and point = (8, -5):

y + 5 = -1/4(x - 8)

y + 5 = -1/4x + 2

y = -1/4x - 3

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What is the slope of the line that contains the point (13,-2) and (3,-2)

ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

Solution:

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

$(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)$

Substituting the values in formula, we get,

$m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0$

Thus the slope of line is 0

3 0

2 years ago

Please help 8th time posting

neonofarm [45]

Answer:

Graham: -50x + 14,040

Max: 20x + 12,500

Graham = Max

-50x + 14,040 = 20x + 12,500

+50x +50x

14,040 = 70x + 12,500

-12,500-12.500

1,540 = 70x

220 = x

Answer: 220 minutes (3 hours 40 minutes)

PLZ MARK AS BRAINILEST:-)

3 0

2 years ago

Read 2 more answers

To make a scarf, Jenny of blue yarn and white yarn. The number of yards of blue yarn she uses is 4 times the number of white yar

drek231 [11]

4times more or less?

6 0

2 years ago

Which angles are corresponding angles? Check all that apply.

bekas [8.4K]

Answer: Options 'A', 'C' and 'F' are correct.

Step-by-step explanation:

Since we have given that

Corresponding angles are those angles which takes the same corresponding position at intersection when a transversal cut the two parallel lines.

so, According to this , we get that

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

so, Options 'A', 'C' and 'F' are correct.

3 0

2 years ago

Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

OR in Decimal,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

[Follow PEMDAS rule while simplifying]

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

5 0

1 year ago